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Finding the Fourth Proportional to 14,502.97, 21,764.18 and 9,312.49

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Solution

The fourth proportional to 14,502.97, 21,764.18 and 9,312.49 is: 13,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.97 : 21,764.18 = 9,312.49 : x
  2. Step 2: Convert to fraction form
    14,502.97/21,764.18 = 9,312.49/x
  3. Step 3: Cross multiply
    14,502.97x = 21,764.18 × 9,312.49
  4. Step 4: Simplify right side
    14,502.97x = 202,678,708.61
  5. Step 5: Solve for x
    x = 202,678,708.61/14,502.97
  6. Step 6: Final answer
    x = 13,974.98

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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.