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Finding the Fourth Proportional to 7,677.04, 10,598.84 and 7,234.18

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Solution

The fourth proportional to 7,677.04, 10,598.84 and 7,234.18 is: 9,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.04 : 10,598.84 = 7,234.18 : x
  2. Step 2: Convert to fraction form
    7,677.04/10,598.84 = 7,234.18/x
  3. Step 3: Cross multiply
    7,677.04x = 10,598.84 × 7,234.18
  4. Step 4: Simplify right side
    7,677.04x = 76,673,827.19
  5. Step 5: Solve for x
    x = 76,673,827.19/7,677.04
  6. Step 6: Final answer
    x = 9,987.42

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Half scale
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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.