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Finding the Fourth Proportional to 8,309.52, 11,461.12 and 5,652.20

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Solution

The fourth proportional to 8,309.52, 11,461.12 and 5,652.20 is: 7,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.52 : 11,461.12 = 5,652.20 : x
  2. Step 2: Convert to fraction form
    8,309.52/11,461.12 = 5,652.20/x
  3. Step 3: Cross multiply
    8,309.52x = 11,461.12 × 5,652.20
  4. Step 4: Simplify right side
    8,309.52x = 64,780,542.46
  5. Step 5: Solve for x
    x = 64,780,542.46/8,309.52
  6. Step 6: Final answer
    x = 7,795.94

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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.