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Finding the Fourth Proportional to 16,612.60, 22,923.48 and 9,897.28

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Solution

The fourth proportional to 16,612.60, 22,923.48 and 9,897.28 is: 13,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612.60 : 22,923.48 = 9,897.28 : x
  2. Step 2: Convert to fraction form
    16,612.60/22,923.48 = 9,897.28/x
  3. Step 3: Cross multiply
    16,612.60x = 22,923.48 × 9,897.28
  4. Step 4: Simplify right side
    16,612.60x = 226,880,100.13
  5. Step 5: Solve for x
    x = 226,880,100.13/16,612.60
  6. Step 6: Final answer
    x = 13,657.11

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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.