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Finding the Fourth Proportional to 6,854.54, 9,459.30 and 3,710.72

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Solution

The fourth proportional to 6,854.54, 9,459.30 and 3,710.72 is: 5,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.54 : 9,459.30 = 3,710.72 : x
  2. Step 2: Convert to fraction form
    6,854.54/9,459.30 = 3,710.72/x
  3. Step 3: Cross multiply
    6,854.54x = 9,459.30 × 3,710.72
  4. Step 4: Simplify right side
    6,854.54x = 35,100,851.26
  5. Step 5: Solve for x
    x = 35,100,851.26/6,854.54
  6. Step 6: Final answer
    x = 5,120.82

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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.