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Finding the Fourth Proportional to 6,504.96, 9,746.28 and 5,127.12

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Solution

The fourth proportional to 6,504.96, 9,746.28 and 5,127.12 is: 7,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.96 : 9,746.28 = 5,127.12 : x
  2. Step 2: Convert to fraction form
    6,504.96/9,746.28 = 5,127.12/x
  3. Step 3: Cross multiply
    6,504.96x = 9,746.28 × 5,127.12
  4. Step 4: Simplify right side
    6,504.96x = 49,970,347.11
  5. Step 5: Solve for x
    x = 49,970,347.11/6,504.96
  6. Step 6: Final answer
    x = 7,681.88

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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.