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Finding the Fourth Proportional to 39,294.49, 58,941.16 and 9,712.33

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Solution

The fourth proportional to 39,294.49, 58,941.16 and 9,712.33 is: 14,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294.49 : 58,941.16 = 9,712.33 : x
  2. Step 2: Convert to fraction form
    39,294.49/58,941.16 = 9,712.33/x
  3. Step 3: Cross multiply
    39,294.49x = 58,941.16 × 9,712.33
  4. Step 4: Simplify right side
    39,294.49x = 572,455,996.50
  5. Step 5: Solve for x
    x = 572,455,996.50/39,294.49
  6. Step 6: Final answer
    x = 14,568.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.