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Finding the Fourth Proportional to 5,509.93, 8,264.90 and 1,614.34

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Solution

The fourth proportional to 5,509.93, 8,264.90 and 1,614.34 is: 2,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.93 : 8,264.90 = 1,614.34 : x
  2. Step 2: Convert to fraction form
    5,509.93/8,264.90 = 1,614.34/x
  3. Step 3: Cross multiply
    5,509.93x = 8,264.90 × 1,614.34
  4. Step 4: Simplify right side
    5,509.93x = 13,342,358.67
  5. Step 5: Solve for x
    x = 13,342,358.67/5,509.93
  6. Step 6: Final answer
    x = 2,421.51

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Half scale
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Double scale
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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.