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Finding the Fourth Proportional to 7,581.69, 10,462.23 and 4,224.24

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Solution

The fourth proportional to 7,581.69, 10,462.23 and 4,224.24 is: 5,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.69 : 10,462.23 = 4,224.24 : x
  2. Step 2: Convert to fraction form
    7,581.69/10,462.23 = 4,224.24/x
  3. Step 3: Cross multiply
    7,581.69x = 10,462.23 × 4,224.24
  4. Step 4: Simplify right side
    7,581.69x = 44,194,970.46
  5. Step 5: Solve for x
    x = 44,194,970.46/7,581.69
  6. Step 6: Final answer
    x = 5,829.17

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Double scale
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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.