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Finding the Fourth Proportional to 11,561.76, 15,955.08 and 6,256.46

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Solution

The fourth proportional to 11,561.76, 15,955.08 and 6,256.46 is: 8,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.76 : 15,955.08 = 6,256.46 : x
  2. Step 2: Convert to fraction form
    11,561.76/15,955.08 = 6,256.46/x
  3. Step 3: Cross multiply
    11,561.76x = 15,955.08 × 6,256.46
  4. Step 4: Simplify right side
    11,561.76x = 99,822,319.82
  5. Step 5: Solve for x
    x = 99,822,319.82/11,561.76
  6. Step 6: Final answer
    x = 8,633.83

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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.