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Finding the Fourth Proportional to 11,712.17, 16,162.71 and 6,407.00

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Solution

The fourth proportional to 11,712.17, 16,162.71 and 6,407.00 is: 8,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.17 : 16,162.71 = 6,407.00 : x
  2. Step 2: Convert to fraction form
    11,712.17/16,162.71 = 6,407.00/x
  3. Step 3: Cross multiply
    11,712.17x = 16,162.71 × 6,407.00
  4. Step 4: Simplify right side
    11,712.17x = 103,554,492.80
  5. Step 5: Solve for x
    x = 103,554,492.80/11,712.17
  6. Step 6: Final answer
    x = 8,841.61

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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.