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Finding the Fourth Proportional to 5,663.68, 8,492.20 and 1,713.76

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Solution

The fourth proportional to 5,663.68, 8,492.20 and 1,713.76 is: 2,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.68 : 8,492.20 = 1,713.76 : x
  2. Step 2: Convert to fraction form
    5,663.68/8,492.20 = 1,713.76/x
  3. Step 3: Cross multiply
    5,663.68x = 8,492.20 × 1,713.76
  4. Step 4: Simplify right side
    5,663.68x = 14,553,567.16
  5. Step 5: Solve for x
    x = 14,553,567.16/5,663.68
  6. Step 6: Final answer
    x = 2,569.63

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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.