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Finding the Fourth Proportional to 16,597.12, 22,909.08 and 9,883.84

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Solution

The fourth proportional to 16,597.12, 22,909.08 and 9,883.84 is: 13,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.12 : 22,909.08 = 9,883.84 : x
  2. Step 2: Convert to fraction form
    16,597.12/22,909.08 = 9,883.84/x
  3. Step 3: Cross multiply
    16,597.12x = 22,909.08 × 9,883.84
  4. Step 4: Simplify right side
    16,597.12x = 226,429,681.27
  5. Step 5: Solve for x
    x = 226,429,681.27/16,597.12
  6. Step 6: Final answer
    x = 13,642.71

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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.