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Finding the Fourth Proportional to 9,045.20, 12,484 and 5,901.32

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Solution

The fourth proportional to 9,045.20, 12,484 and 5,901.32 is: 8,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.20 : 12,484 = 5,901.32 : x
  2. Step 2: Convert to fraction form
    9,045.20/12,484 = 5,901.32/x
  3. Step 3: Cross multiply
    9,045.20x = 12,484 × 5,901.32
  4. Step 4: Simplify right side
    9,045.20x = 73,672,078.88
  5. Step 5: Solve for x
    x = 73,672,078.88/9,045.20
  6. Step 6: Final answer
    x = 8,144.88

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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.