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Finding the Fourth Proportional to 11,595.74, 16,000.65 and 6,491.12

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Solution

The fourth proportional to 11,595.74, 16,000.65 and 6,491.12 is: 8,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.74 : 16,000.65 = 6,491.12 : x
  2. Step 2: Convert to fraction form
    11,595.74/16,000.65 = 6,491.12/x
  3. Step 3: Cross multiply
    11,595.74x = 16,000.65 × 6,491.12
  4. Step 4: Simplify right side
    11,595.74x = 103,862,059.22
  5. Step 5: Solve for x
    x = 103,862,059.22/11,595.74
  6. Step 6: Final answer
    x = 8,956.92

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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.