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Finding the Fourth Proportional to 7,246.96, 10,870.44 and 3,142

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Solution

The fourth proportional to 7,246.96, 10,870.44 and 3,142 is: 4,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.96 : 10,870.44 = 3,142 : x
  2. Step 2: Convert to fraction form
    7,246.96/10,870.44 = 3,142/x
  3. Step 3: Cross multiply
    7,246.96x = 10,870.44 × 3,142
  4. Step 4: Simplify right side
    7,246.96x = 34,154,922.48
  5. Step 5: Solve for x
    x = 34,154,922.48/7,246.96
  6. Step 6: Final answer
    x = 4,713.00

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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.