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Finding the Fourth Proportional to 10,465.22, 15,769.77 and 8,656.84

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Solution

The fourth proportional to 10,465.22, 15,769.77 and 8,656.84 is: 13,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.22 : 15,769.77 = 8,656.84 : x
  2. Step 2: Convert to fraction form
    10,465.22/15,769.77 = 8,656.84/x
  3. Step 3: Cross multiply
    10,465.22x = 15,769.77 × 8,656.84
  4. Step 4: Simplify right side
    10,465.22x = 136,516,411.67
  5. Step 5: Solve for x
    x = 136,516,411.67/10,465.22
  6. Step 6: Final answer
    x = 13,044.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.