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Finding the Fourth Proportional to 10,605.60, 15,900.30 and 6,444.72

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Solution

The fourth proportional to 10,605.60, 15,900.30 and 6,444.72 is: 9,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 15,900.30 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    10,605.60/15,900.30 = 6,444.72/x
  3. Step 3: Cross multiply
    10,605.60x = 15,900.30 × 6,444.72
  4. Step 4: Simplify right side
    10,605.60x = 102,472,981.42
  5. Step 5: Solve for x
    x = 102,472,981.42/10,605.60
  6. Step 6: Final answer
    x = 9,662.16

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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.