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Finding the Fourth Proportional to 11,494.75, 15,862.77 and 6,526.75

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Solution

The fourth proportional to 11,494.75, 15,862.77 and 6,526.75 is: 9,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.75 : 15,862.77 = 6,526.75 : x
  2. Step 2: Convert to fraction form
    11,494.75/15,862.77 = 6,526.75/x
  3. Step 3: Cross multiply
    11,494.75x = 15,862.77 × 6,526.75
  4. Step 4: Simplify right side
    11,494.75x = 103,532,334.10
  5. Step 5: Solve for x
    x = 103,532,334.10/11,494.75
  6. Step 6: Final answer
    x = 9,006.92

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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.