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Finding the Fourth Proportional to 7,705.35, 10,614.96 and 7,330.16

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Solution

The fourth proportional to 7,705.35, 10,614.96 and 7,330.16 is: 10,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.35 : 10,614.96 = 7,330.16 : x
  2. Step 2: Convert to fraction form
    7,705.35/10,614.96 = 7,330.16/x
  3. Step 3: Cross multiply
    7,705.35x = 10,614.96 × 7,330.16
  4. Step 4: Simplify right side
    7,705.35x = 77,809,381.73
  5. Step 5: Solve for x
    x = 77,809,381.73/7,705.35
  6. Step 6: Final answer
    x = 10,098.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.