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Finding the Fourth Proportional to 9,561.32, 14,328.54 and 9,035.56

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Solution

The fourth proportional to 9,561.32, 14,328.54 and 9,035.56 is: 13,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.32 : 14,328.54 = 9,035.56 : x
  2. Step 2: Convert to fraction form
    9,561.32/14,328.54 = 9,035.56/x
  3. Step 3: Cross multiply
    9,561.32x = 14,328.54 × 9,035.56
  4. Step 4: Simplify right side
    9,561.32x = 129,466,382.88
  5. Step 5: Solve for x
    x = 129,466,382.88/9,561.32
  6. Step 6: Final answer
    x = 13,540.64

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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.