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Finding the Fourth Proportional to 10,588.80, 14,610.08 and 6,111.12

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Solution

The fourth proportional to 10,588.80, 14,610.08 and 6,111.12 is: 8,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.80 : 14,610.08 = 6,111.12 : x
  2. Step 2: Convert to fraction form
    10,588.80/14,610.08 = 6,111.12/x
  3. Step 3: Cross multiply
    10,588.80x = 14,610.08 × 6,111.12
  4. Step 4: Simplify right side
    10,588.80x = 89,283,952.09
  5. Step 5: Solve for x
    x = 89,283,952.09/10,588.80
  6. Step 6: Final answer
    x = 8,431.92

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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.