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Finding the Fourth Proportional to 7,581, 10,462.10 and 4,223.82

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Solution

The fourth proportional to 7,581, 10,462.10 and 4,223.82 is: 5,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581 : 10,462.10 = 4,223.82 : x
  2. Step 2: Convert to fraction form
    7,581/10,462.10 = 4,223.82/x
  3. Step 3: Cross multiply
    7,581x = 10,462.10 × 4,223.82
  4. Step 4: Simplify right side
    7,581x = 44,190,027.22
  5. Step 5: Solve for x
    x = 44,190,027.22/7,581
  6. Step 6: Final answer
    x = 5,829.05

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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.