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Finding the Fourth Proportional to 5,657.61, 8,487.62 and 1,709.17

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Solution

The fourth proportional to 5,657.61, 8,487.62 and 1,709.17 is: 2,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.61 : 8,487.62 = 1,709.17 : x
  2. Step 2: Convert to fraction form
    5,657.61/8,487.62 = 1,709.17/x
  3. Step 3: Cross multiply
    5,657.61x = 8,487.62 × 1,709.17
  4. Step 4: Simplify right side
    5,657.61x = 14,506,755.71
  5. Step 5: Solve for x
    x = 14,506,755.71/5,657.61
  6. Step 6: Final answer
    x = 2,564.11

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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.