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Finding the Fourth Proportional to 6,931.65, 10,395.95 and 2,000.22

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Solution

The fourth proportional to 6,931.65, 10,395.95 and 2,000.22 is: 2,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.65 : 10,395.95 = 2,000.22 : x
  2. Step 2: Convert to fraction form
    6,931.65/10,395.95 = 2,000.22/x
  3. Step 3: Cross multiply
    6,931.65x = 10,395.95 × 2,000.22
  4. Step 4: Simplify right side
    6,931.65x = 20,794,177.11
  5. Step 5: Solve for x
    x = 20,794,177.11/6,931.65
  6. Step 6: Final answer
    x = 2,999.89

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1.5x scale

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.