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Finding the Fourth Proportional to 6,473.95, 9,711.23 and 2,315.93

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Solution

The fourth proportional to 6,473.95, 9,711.23 and 2,315.93 is: 3,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.95 : 9,711.23 = 2,315.93 : x
  2. Step 2: Convert to fraction form
    6,473.95/9,711.23 = 2,315.93/x
  3. Step 3: Cross multiply
    6,473.95x = 9,711.23 × 2,315.93
  4. Step 4: Simplify right side
    6,473.95x = 22,490,468.76
  5. Step 5: Solve for x
    x = 22,490,468.76/6,473.95
  6. Step 6: Final answer
    x = 3,474.00

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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.