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Finding the Fourth Proportional to 10,535, 14,537.22 and 6,059.12

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Solution

The fourth proportional to 10,535, 14,537.22 and 6,059.12 is: 8,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535 : 14,537.22 = 6,059.12 : x
  2. Step 2: Convert to fraction form
    10,535/14,537.22 = 6,059.12/x
  3. Step 3: Cross multiply
    10,535x = 14,537.22 × 6,059.12
  4. Step 4: Simplify right side
    10,535x = 88,082,760.45
  5. Step 5: Solve for x
    x = 88,082,760.45/10,535
  6. Step 6: Final answer
    x = 8,360.96

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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.