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Finding the Fourth Proportional to 16,374.76, 22,597.18 and 9,660.47

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Solution

The fourth proportional to 16,374.76, 22,597.18 and 9,660.47 is: 13,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.76 : 22,597.18 = 9,660.47 : x
  2. Step 2: Convert to fraction form
    16,374.76/22,597.18 = 9,660.47/x
  3. Step 3: Cross multiply
    16,374.76x = 22,597.18 × 9,660.47
  4. Step 4: Simplify right side
    16,374.76x = 218,299,242.34
  5. Step 5: Solve for x
    x = 218,299,242.34/16,374.76
  6. Step 6: Final answer
    x = 13,331.45

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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.