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Finding the Fourth Proportional to 7,697.52, 10,619.28 and 5,044.32

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Solution

The fourth proportional to 7,697.52, 10,619.28 and 5,044.32 is: 6,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.52 : 10,619.28 = 5,044.32 : x
  2. Step 2: Convert to fraction form
    7,697.52/10,619.28 = 5,044.32/x
  3. Step 3: Cross multiply
    7,697.52x = 10,619.28 × 5,044.32
  4. Step 4: Simplify right side
    7,697.52x = 53,567,046.49
  5. Step 5: Solve for x
    x = 53,567,046.49/7,697.52
  6. Step 6: Final answer
    x = 6,959.00

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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.