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Finding the Fourth Proportional to 7,101.96, 9,799.90 and 4,117.18

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Solution

The fourth proportional to 7,101.96, 9,799.90 and 4,117.18 is: 5,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.96 : 9,799.90 = 4,117.18 : x
  2. Step 2: Convert to fraction form
    7,101.96/9,799.90 = 4,117.18/x
  3. Step 3: Cross multiply
    7,101.96x = 9,799.90 × 4,117.18
  4. Step 4: Simplify right side
    7,101.96x = 40,347,952.28
  5. Step 5: Solve for x
    x = 40,347,952.28/7,101.96
  6. Step 6: Final answer
    x = 5,681.24

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Half scale
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Double 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.