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Finding the Fourth Proportional to 7,701.48, 11,563.16 and 7,349.13

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Solution

The fourth proportional to 7,701.48, 11,563.16 and 7,349.13 is: 11,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.48 : 11,563.16 = 7,349.13 : x
  2. Step 2: Convert to fraction form
    7,701.48/11,563.16 = 7,349.13/x
  3. Step 3: Cross multiply
    7,701.48x = 11,563.16 × 7,349.13
  4. Step 4: Simplify right side
    7,701.48x = 84,979,129.31
  5. Step 5: Solve for x
    x = 84,979,129.31/7,701.48
  6. Step 6: Final answer
    x = 11,034.13

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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.