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Finding the Fourth Proportional to 5,605.68, 8,410.14 and 1,710.72

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Solution

The fourth proportional to 5,605.68, 8,410.14 and 1,710.72 is: 2,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.68 : 8,410.14 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    5,605.68/8,410.14 = 1,710.72/x
  3. Step 3: Cross multiply
    5,605.68x = 8,410.14 × 1,710.72
  4. Step 4: Simplify right side
    5,605.68x = 14,387,394.70
  5. Step 5: Solve for x
    x = 14,387,394.70/5,605.68
  6. Step 6: Final answer
    x = 2,566.57

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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.