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Finding the Fourth Proportional to 7,459.65, 10,294.08 and 4,102.47

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Solution

The fourth proportional to 7,459.65, 10,294.08 and 4,102.47 is: 5,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.65 : 10,294.08 = 4,102.47 : x
  2. Step 2: Convert to fraction form
    7,459.65/10,294.08 = 4,102.47/x
  3. Step 3: Cross multiply
    7,459.65x = 10,294.08 × 4,102.47
  4. Step 4: Simplify right side
    7,459.65x = 42,231,154.38
  5. Step 5: Solve for x
    x = 42,231,154.38/7,459.65
  6. Step 6: Final answer
    x = 5,661.28

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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.