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Finding the Fourth Proportional to 11,652.55, 16,089.99 and 9,499.43

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Solution

The fourth proportional to 11,652.55, 16,089.99 and 9,499.43 is: 13,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.55 : 16,089.99 = 9,499.43 : x
  2. Step 2: Convert to fraction form
    11,652.55/16,089.99 = 9,499.43/x
  3. Step 3: Cross multiply
    11,652.55x = 16,089.99 × 9,499.43
  4. Step 4: Simplify right side
    11,652.55x = 152,845,733.71
  5. Step 5: Solve for x
    x = 152,845,733.71/11,652.55
  6. Step 6: Final answer
    x = 13,116.93

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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.