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Finding the Fourth Proportional to 5,724.30, 8,632.00 and 5,646.24

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Solution

The fourth proportional to 5,724.30, 8,632.00 and 5,646.24 is: 8,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.30 : 8,632.00 = 5,646.24 : x
  2. Step 2: Convert to fraction form
    5,724.30/8,632.00 = 5,646.24/x
  3. Step 3: Cross multiply
    5,724.30x = 8,632.00 × 5,646.24
  4. Step 4: Simplify right side
    5,724.30x = 48,738,350.74
  5. Step 5: Solve for x
    x = 48,738,350.74/5,724.30
  6. Step 6: Final answer
    x = 8,514.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.