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Finding the Fourth Proportional to 11,957.84, 17,925.24 and 6,407.12

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Solution

The fourth proportional to 11,957.84, 17,925.24 and 6,407.12 is: 9,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.84 : 17,925.24 = 6,407.12 : x
  2. Step 2: Convert to fraction form
    11,957.84/17,925.24 = 6,407.12/x
  3. Step 3: Cross multiply
    11,957.84x = 17,925.24 × 6,407.12
  4. Step 4: Simplify right side
    11,957.84x = 114,849,163.71
  5. Step 5: Solve for x
    x = 114,849,163.71/11,957.84
  6. Step 6: Final answer
    x = 9,604.51

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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.