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Finding the Fourth Proportional to 8,374.50, 11,566.53 and 5,575.14

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Solution

The fourth proportional to 8,374.50, 11,566.53 and 5,575.14 is: 7,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 11,566.53 = 5,575.14 : x
  2. Step 2: Convert to fraction form
    8,374.50/11,566.53 = 5,575.14/x
  3. Step 3: Cross multiply
    8,374.50x = 11,566.53 × 5,575.14
  4. Step 4: Simplify right side
    8,374.50x = 64,485,024.06
  5. Step 5: Solve for x
    x = 64,485,024.06/8,374.50
  6. Step 6: Final answer
    x = 7,700.16

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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.