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Finding the Fourth Proportional to 5,109.13, 7,618.98 and 5,062.42

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Solution

The fourth proportional to 5,109.13, 7,618.98 and 5,062.42 is: 7,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.13 : 7,618.98 = 5,062.42 : x
  2. Step 2: Convert to fraction form
    5,109.13/7,618.98 = 5,062.42/x
  3. Step 3: Cross multiply
    5,109.13x = 7,618.98 × 5,062.42
  4. Step 4: Simplify right side
    5,109.13x = 38,570,438.64
  5. Step 5: Solve for x
    x = 38,570,438.64/5,109.13
  6. Step 6: Final answer
    x = 7,549.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.