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Finding the Fourth Proportional to 9,883.52, 14,739.52 and 8,432

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Solution

The fourth proportional to 9,883.52, 14,739.52 and 8,432 is: 12,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.52 : 14,739.52 = 8,432 : x
  2. Step 2: Convert to fraction form
    9,883.52/14,739.52 = 8,432/x
  3. Step 3: Cross multiply
    9,883.52x = 14,739.52 × 8,432
  4. Step 4: Simplify right side
    9,883.52x = 124,283,632.64
  5. Step 5: Solve for x
    x = 124,283,632.64/9,883.52
  6. Step 6: Final answer
    x = 12,574.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.