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Finding the Fourth Proportional to 7,105.76, 9,823.68 and 5,334.30

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Solution

The fourth proportional to 7,105.76, 9,823.68 and 5,334.30 is: 7,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.76 : 9,823.68 = 5,334.30 : x
  2. Step 2: Convert to fraction form
    7,105.76/9,823.68 = 5,334.30/x
  3. Step 3: Cross multiply
    7,105.76x = 9,823.68 × 5,334.30
  4. Step 4: Simplify right side
    7,105.76x = 52,402,456.22
  5. Step 5: Solve for x
    x = 52,402,456.22/7,105.76
  6. Step 6: Final answer
    x = 7,374.64

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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.