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Finding the Fourth Proportional to 8,842.32, 12,204 and 7,348.32

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Solution

The fourth proportional to 8,842.32, 12,204 and 7,348.32 is: 10,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.32 : 12,204 = 7,348.32 : x
  2. Step 2: Convert to fraction form
    8,842.32/12,204 = 7,348.32/x
  3. Step 3: Cross multiply
    8,842.32x = 12,204 × 7,348.32
  4. Step 4: Simplify right side
    8,842.32x = 89,678,897.28
  5. Step 5: Solve for x
    x = 89,678,897.28/8,842.32
  6. Step 6: Final answer
    x = 10,142.01

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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.