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Finding the Fourth Proportional to 14,687.52, 22,023 and 4,824.15

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Solution

The fourth proportional to 14,687.52, 22,023 and 4,824.15 is: 7,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.52 : 22,023 = 4,824.15 : x
  2. Step 2: Convert to fraction form
    14,687.52/22,023 = 4,824.15/x
  3. Step 3: Cross multiply
    14,687.52x = 22,023 × 4,824.15
  4. Step 4: Simplify right side
    14,687.52x = 106,242,255.45
  5. Step 5: Solve for x
    x = 106,242,255.45/14,687.52
  6. Step 6: Final answer
    x = 7,233.51

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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.