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Finding the Fourth Proportional to 10,700.92, 14,767.86 and 5,985.64

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Solution

The fourth proportional to 10,700.92, 14,767.86 and 5,985.64 is: 8,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.92 : 14,767.86 = 5,985.64 : x
  2. Step 2: Convert to fraction form
    10,700.92/14,767.86 = 5,985.64/x
  3. Step 3: Cross multiply
    10,700.92x = 14,767.86 × 5,985.64
  4. Step 4: Simplify right side
    10,700.92x = 88,395,093.53
  5. Step 5: Solve for x
    x = 88,395,093.53/10,700.92
  6. Step 6: Final answer
    x = 8,260.51

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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.