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Finding the Fourth Proportional to 7,447.99, 10,204.68 and 7,355.76

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Solution

The fourth proportional to 7,447.99, 10,204.68 and 7,355.76 is: 10,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.99 : 10,204.68 = 7,355.76 : x
  2. Step 2: Convert to fraction form
    7,447.99/10,204.68 = 7,355.76/x
  3. Step 3: Cross multiply
    7,447.99x = 10,204.68 × 7,355.76
  4. Step 4: Simplify right side
    7,447.99x = 75,063,176.96
  5. Step 5: Solve for x
    x = 75,063,176.96/7,447.99
  6. Step 6: Final answer
    x = 10,078.31

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Double scale
Find fourth proportional to 7,448.99, 10,206.05 and 7,356.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.