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Finding the Fourth Proportional to 10,179.68, 14,047.88 and 5,703.47

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Solution

The fourth proportional to 10,179.68, 14,047.88 and 5,703.47 is: 7,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.68 : 14,047.88 = 5,703.47 : x
  2. Step 2: Convert to fraction form
    10,179.68/14,047.88 = 5,703.47/x
  3. Step 3: Cross multiply
    10,179.68x = 14,047.88 × 5,703.47
  4. Step 4: Simplify right side
    10,179.68x = 80,121,563.39
  5. Step 5: Solve for x
    x = 80,121,563.39/10,179.68
  6. Step 6: Final answer
    x = 7,870.74

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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.