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Finding the Fourth Proportional to 10,869.42, 16,256.21 and 9,462.30

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Solution

The fourth proportional to 10,869.42, 16,256.21 and 9,462.30 is: 14,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.42 : 16,256.21 = 9,462.30 : x
  2. Step 2: Convert to fraction form
    10,869.42/16,256.21 = 9,462.30/x
  3. Step 3: Cross multiply
    10,869.42x = 16,256.21 × 9,462.30
  4. Step 4: Simplify right side
    10,869.42x = 153,821,159.54
  5. Step 5: Solve for x
    x = 153,821,159.54/10,869.42
  6. Step 6: Final answer
    x = 14,151.74

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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.