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Finding the Fourth Proportional to 7,543.74, 10,409.98 and 4,186.29

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Solution

The fourth proportional to 7,543.74, 10,409.98 and 4,186.29 is: 5,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.74 : 10,409.98 = 4,186.29 : x
  2. Step 2: Convert to fraction form
    7,543.74/10,409.98 = 4,186.29/x
  3. Step 3: Cross multiply
    7,543.74x = 10,409.98 × 4,186.29
  4. Step 4: Simplify right side
    7,543.74x = 43,579,195.17
  5. Step 5: Solve for x
    x = 43,579,195.17/7,543.74
  6. Step 6: Final answer
    x = 5,776.87

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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.