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Finding the Fourth Proportional to 7,874.16, 10,856.26 and 6,452.62

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Solution

The fourth proportional to 7,874.16, 10,856.26 and 6,452.62 is: 8,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.16 : 10,856.26 = 6,452.62 : x
  2. Step 2: Convert to fraction form
    7,874.16/10,856.26 = 6,452.62/x
  3. Step 3: Cross multiply
    7,874.16x = 10,856.26 × 6,452.62
  4. Step 4: Simplify right side
    7,874.16x = 70,051,320.40
  5. Step 5: Solve for x
    x = 70,051,320.40/7,874.16
  6. Step 6: Final answer
    x = 8,896.35

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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.