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Finding the Fourth Proportional to 10,617.60, 14,652.24 and 5,901.60

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Solution

The fourth proportional to 10,617.60, 14,652.24 and 5,901.60 is: 8,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.60 : 14,652.24 = 5,901.60 : x
  2. Step 2: Convert to fraction form
    10,617.60/14,652.24 = 5,901.60/x
  3. Step 3: Cross multiply
    10,617.60x = 14,652.24 × 5,901.60
  4. Step 4: Simplify right side
    10,617.60x = 86,471,659.58
  5. Step 5: Solve for x
    x = 86,471,659.58/10,617.60
  6. Step 6: Final answer
    x = 8,144.18

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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.