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Finding the Fourth Proportional to 6,851.74, 9,459.12 and 4,752.22

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Solution

The fourth proportional to 6,851.74, 9,459.12 and 4,752.22 is: 6,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.74 : 9,459.12 = 4,752.22 : x
  2. Step 2: Convert to fraction form
    6,851.74/9,459.12 = 4,752.22/x
  3. Step 3: Cross multiply
    6,851.74x = 9,459.12 × 4,752.22
  4. Step 4: Simplify right side
    6,851.74x = 44,951,819.25
  5. Step 5: Solve for x
    x = 44,951,819.25/6,851.74
  6. Step 6: Final answer
    x = 6,560.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.