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Finding the Fourth Proportional to 10,543.10, 15,814.64 and 2,751.84

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Solution

The fourth proportional to 10,543.10, 15,814.64 and 2,751.84 is: 4,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.10 : 15,814.64 = 2,751.84 : x
  2. Step 2: Convert to fraction form
    10,543.10/15,814.64 = 2,751.84/x
  3. Step 3: Cross multiply
    10,543.10x = 15,814.64 × 2,751.84
  4. Step 4: Simplify right side
    10,543.10x = 43,519,365.82
  5. Step 5: Solve for x
    x = 43,519,365.82/10,543.10
  6. Step 6: Final answer
    x = 4,127.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.