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Finding the Fourth Proportional to 6,407.76, 8,842.70 and 3,463.76

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Solution

The fourth proportional to 6,407.76, 8,842.70 and 3,463.76 is: 4,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.76 : 8,842.70 = 3,463.76 : x
  2. Step 2: Convert to fraction form
    6,407.76/8,842.70 = 3,463.76/x
  3. Step 3: Cross multiply
    6,407.76x = 8,842.70 × 3,463.76
  4. Step 4: Simplify right side
    6,407.76x = 30,628,990.55
  5. Step 5: Solve for x
    x = 30,628,990.55/6,407.76
  6. Step 6: Final answer
    x = 4,779.98

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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.