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Finding the Fourth Proportional to 5,831.64, 8,732.10 and 4,464.60

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Solution

The fourth proportional to 5,831.64, 8,732.10 and 4,464.60 is: 6,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.64 : 8,732.10 = 4,464.60 : x
  2. Step 2: Convert to fraction form
    5,831.64/8,732.10 = 4,464.60/x
  3. Step 3: Cross multiply
    5,831.64x = 8,732.10 × 4,464.60
  4. Step 4: Simplify right side
    5,831.64x = 38,985,333.66
  5. Step 5: Solve for x
    x = 38,985,333.66/5,831.64
  6. Step 6: Final answer
    x = 6,685.14

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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.