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Finding the Fourth Proportional to 4,664.64, 7,001.12 and 4,170.24

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Solution

The fourth proportional to 4,664.64, 7,001.12 and 4,170.24 is: 6,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.64 : 7,001.12 = 4,170.24 : x
  2. Step 2: Convert to fraction form
    4,664.64/7,001.12 = 4,170.24/x
  3. Step 3: Cross multiply
    4,664.64x = 7,001.12 × 4,170.24
  4. Step 4: Simplify right side
    4,664.64x = 29,196,350.67
  5. Step 5: Solve for x
    x = 29,196,350.67/4,664.64
  6. Step 6: Final answer
    x = 6,259.08

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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.