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Finding the Fourth Proportional to 5,564.57, 8,345.53 and 1,614.77

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Solution

The fourth proportional to 5,564.57, 8,345.53 and 1,614.77 is: 2,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.57 : 8,345.53 = 1,614.77 : x
  2. Step 2: Convert to fraction form
    5,564.57/8,345.53 = 1,614.77/x
  3. Step 3: Cross multiply
    5,564.57x = 8,345.53 × 1,614.77
  4. Step 4: Simplify right side
    5,564.57x = 13,476,103.06
  5. Step 5: Solve for x
    x = 13,476,103.06/5,564.57
  6. Step 6: Final answer
    x = 2,421.77

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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.