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Finding the Fourth Proportional to 6,574.48, 9,865.50 and 2,678.92

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Solution

The fourth proportional to 6,574.48, 9,865.50 and 2,678.92 is: 4,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.48 : 9,865.50 = 2,678.92 : x
  2. Step 2: Convert to fraction form
    6,574.48/9,865.50 = 2,678.92/x
  3. Step 3: Cross multiply
    6,574.48x = 9,865.50 × 2,678.92
  4. Step 4: Simplify right side
    6,574.48x = 26,428,885.26
  5. Step 5: Solve for x
    x = 26,428,885.26/6,574.48
  6. Step 6: Final answer
    x = 4,019.92

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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.