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Finding the Fourth Proportional to 9,027.71, 12,454.03 and 5,842.02

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Solution

The fourth proportional to 9,027.71, 12,454.03 and 5,842.02 is: 8,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.71 : 12,454.03 = 5,842.02 : x
  2. Step 2: Convert to fraction form
    9,027.71/12,454.03 = 5,842.02/x
  3. Step 3: Cross multiply
    9,027.71x = 12,454.03 × 5,842.02
  4. Step 4: Simplify right side
    9,027.71x = 72,756,746.35
  5. Step 5: Solve for x
    x = 72,756,746.35/9,027.71
  6. Step 6: Final answer
    x = 8,059.27

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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.