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Finding the Fourth Proportional to 5,669.13, 8,503.68 and 1,509.14

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Solution

The fourth proportional to 5,669.13, 8,503.68 and 1,509.14 is: 2,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.13 : 8,503.68 = 1,509.14 : x
  2. Step 2: Convert to fraction form
    5,669.13/8,503.68 = 1,509.14/x
  3. Step 3: Cross multiply
    5,669.13x = 8,503.68 × 1,509.14
  4. Step 4: Simplify right side
    5,669.13x = 12,833,201.12
  5. Step 5: Solve for x
    x = 12,833,201.12/5,669.13
  6. Step 6: Final answer
    x = 2,263.70

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Similar ratio
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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.