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Finding the Fourth Proportional to 9,192.96, 13,764.96 and 7,531.20

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Solution

The fourth proportional to 9,192.96, 13,764.96 and 7,531.20 is: 11,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.96 : 13,764.96 = 7,531.20 : x
  2. Step 2: Convert to fraction form
    9,192.96/13,764.96 = 7,531.20/x
  3. Step 3: Cross multiply
    9,192.96x = 13,764.96 × 7,531.20
  4. Step 4: Simplify right side
    9,192.96x = 103,666,666.75
  5. Step 5: Solve for x
    x = 103,666,666.75/9,192.96
  6. Step 6: Final answer
    x = 11,276.75

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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.