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Finding the Fourth Proportional to 15,266.16, 22,900.14 and 6,946.83

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Solution

The fourth proportional to 15,266.16, 22,900.14 and 6,946.83 is: 10,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.16 : 22,900.14 = 6,946.83 : x
  2. Step 2: Convert to fraction form
    15,266.16/22,900.14 = 6,946.83/x
  3. Step 3: Cross multiply
    15,266.16x = 22,900.14 × 6,946.83
  4. Step 4: Simplify right side
    15,266.16x = 159,083,379.56
  5. Step 5: Solve for x
    x = 159,083,379.56/15,266.16
  6. Step 6: Final answer
    x = 10,420.65

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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.