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Finding the Fourth Proportional to 9,001.60, 13,502.40 and 6,231.40

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Solution

The fourth proportional to 9,001.60, 13,502.40 and 6,231.40 is: 9,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.60 : 13,502.40 = 6,231.40 : x
  2. Step 2: Convert to fraction form
    9,001.60/13,502.40 = 6,231.40/x
  3. Step 3: Cross multiply
    9,001.60x = 13,502.40 × 6,231.40
  4. Step 4: Simplify right side
    9,001.60x = 84,138,855.36
  5. Step 5: Solve for x
    x = 84,138,855.36/9,001.60
  6. Step 6: Final answer
    x = 9,347.10

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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.