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Finding the Fourth Proportional to 9,526.61, 13,171.80 and 8,344.29

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Solution

The fourth proportional to 9,526.61, 13,171.80 and 8,344.29 is: 11,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.61 : 13,171.80 = 8,344.29 : x
  2. Step 2: Convert to fraction form
    9,526.61/13,171.80 = 8,344.29/x
  3. Step 3: Cross multiply
    9,526.61x = 13,171.80 × 8,344.29
  4. Step 4: Simplify right side
    9,526.61x = 109,909,319.02
  5. Step 5: Solve for x
    x = 109,909,319.02/9,526.61
  6. Step 6: Final answer
    x = 11,537.09

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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.