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Finding the Fourth Proportional to 9,642.64, 14,456.52 and 4,442.32

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Solution

The fourth proportional to 9,642.64, 14,456.52 and 4,442.32 is: 6,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.64 : 14,456.52 = 4,442.32 : x
  2. Step 2: Convert to fraction form
    9,642.64/14,456.52 = 4,442.32/x
  3. Step 3: Cross multiply
    9,642.64x = 14,456.52 × 4,442.32
  4. Step 4: Simplify right side
    9,642.64x = 64,220,487.93
  5. Step 5: Solve for x
    x = 64,220,487.93/9,642.64
  6. Step 6: Final answer
    x = 6,660.05

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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.