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Finding the Fourth Proportional to 7,214.16, 9,949.12 and 4,859.52

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Solution

The fourth proportional to 7,214.16, 9,949.12 and 4,859.52 is: 6,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.16 : 9,949.12 = 4,859.52 : x
  2. Step 2: Convert to fraction form
    7,214.16/9,949.12 = 4,859.52/x
  3. Step 3: Cross multiply
    7,214.16x = 9,949.12 × 4,859.52
  4. Step 4: Simplify right side
    7,214.16x = 48,347,947.62
  5. Step 5: Solve for x
    x = 48,347,947.62/7,214.16
  6. Step 6: Final answer
    x = 6,701.81

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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.