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Finding the Fourth Proportional to 11,613.31, 16,028.90 and 7,140.90

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Solution

The fourth proportional to 11,613.31, 16,028.90 and 7,140.90 is: 9,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.31 : 16,028.90 = 7,140.90 : x
  2. Step 2: Convert to fraction form
    11,613.31/16,028.90 = 7,140.90/x
  3. Step 3: Cross multiply
    11,613.31x = 16,028.90 × 7,140.90
  4. Step 4: Simplify right side
    11,613.31x = 114,460,772.01
  5. Step 5: Solve for x
    x = 114,460,772.01/11,613.31
  6. Step 6: Final answer
    x = 9,856.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.