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Finding the Fourth Proportional to 8,957.84, 12,341.64 and 6,716.20

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Solution

The fourth proportional to 8,957.84, 12,341.64 and 6,716.20 is: 9,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.84 : 12,341.64 = 6,716.20 : x
  2. Step 2: Convert to fraction form
    8,957.84/12,341.64 = 6,716.20/x
  3. Step 3: Cross multiply
    8,957.84x = 12,341.64 × 6,716.20
  4. Step 4: Simplify right side
    8,957.84x = 82,888,922.57
  5. Step 5: Solve for x
    x = 82,888,922.57/8,957.84
  6. Step 6: Final answer
    x = 9,253.23

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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.