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Finding the Fourth Proportional to 7,874.04, 10,856.04 and 6,452.52

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Solution

The fourth proportional to 7,874.04, 10,856.04 and 6,452.52 is: 8,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.04 : 10,856.04 = 6,452.52 : x
  2. Step 2: Convert to fraction form
    7,874.04/10,856.04 = 6,452.52/x
  3. Step 3: Cross multiply
    7,874.04x = 10,856.04 × 6,452.52
  4. Step 4: Simplify right side
    7,874.04x = 70,048,815.22
  5. Step 5: Solve for x
    x = 70,048,815.22/7,874.04
  6. Step 6: Final answer
    x = 8,896.17

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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.