Home / 10,475.86-15,713.76-6,583

Finding the Fourth Proportional to 10,475.86, 15,713.76 and 6,583

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Solution

The fourth proportional to 10,475.86, 15,713.76 and 6,583 is: 9,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.86 : 15,713.76 = 6,583 : x
  2. Step 2: Convert to fraction form
    10,475.86/15,713.76 = 6,583/x
  3. Step 3: Cross multiply
    10,475.86x = 15,713.76 × 6,583
  4. Step 4: Simplify right side
    10,475.86x = 103,443,682.08
  5. Step 5: Solve for x
    x = 103,443,682.08/10,475.86
  6. Step 6: Final answer
    x = 9,874.48

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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.