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Finding the Fourth Proportional to 14,332.87, 21,497.68 and 4,971.16

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Solution

The fourth proportional to 14,332.87, 21,497.68 and 4,971.16 is: 7,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.87 : 21,497.68 = 4,971.16 : x
  2. Step 2: Convert to fraction form
    14,332.87/21,497.68 = 4,971.16/x
  3. Step 3: Cross multiply
    14,332.87x = 21,497.68 × 4,971.16
  4. Step 4: Simplify right side
    14,332.87x = 106,868,406.91
  5. Step 5: Solve for x
    x = 106,868,406.91/14,332.87
  6. Step 6: Final answer
    x = 7,456.18

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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.