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Finding the Fourth Proportional to 9,642.60, 14,470.92 and 6,362.64

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Solution

The fourth proportional to 9,642.60, 14,470.92 and 6,362.64 is: 9,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.60 : 14,470.92 = 6,362.64 : x
  2. Step 2: Convert to fraction form
    9,642.60/14,470.92 = 6,362.64/x
  3. Step 3: Cross multiply
    9,642.60x = 14,470.92 × 6,362.64
  4. Step 4: Simplify right side
    9,642.60x = 92,073,254.43
  5. Step 5: Solve for x
    x = 92,073,254.43/9,642.60
  6. Step 6: Final answer
    x = 9,548.59

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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.