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Finding the Fourth Proportional to 10,543.50, 14,548.77 and 5,827.14

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Solution

The fourth proportional to 10,543.50, 14,548.77 and 5,827.14 is: 8,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.50 : 14,548.77 = 5,827.14 : x
  2. Step 2: Convert to fraction form
    10,543.50/14,548.77 = 5,827.14/x
  3. Step 3: Cross multiply
    10,543.50x = 14,548.77 × 5,827.14
  4. Step 4: Simplify right side
    10,543.50x = 84,777,719.62
  5. Step 5: Solve for x
    x = 84,777,719.62/10,543.50
  6. Step 6: Final answer
    x = 8,040.76

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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.