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Finding the Fourth Proportional to 10,765.91, 14,861.02 and 6,291.12

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Solution

The fourth proportional to 10,765.91, 14,861.02 and 6,291.12 is: 8,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.91 : 14,861.02 = 6,291.12 : x
  2. Step 2: Convert to fraction form
    10,765.91/14,861.02 = 6,291.12/x
  3. Step 3: Cross multiply
    10,765.91x = 14,861.02 × 6,291.12
  4. Step 4: Simplify right side
    10,765.91x = 93,492,407.26
  5. Step 5: Solve for x
    x = 93,492,407.26/10,765.91
  6. Step 6: Final answer
    x = 8,684.11

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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.