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Finding the Fourth Proportional to 7,230.76, 10,842.78 and 3,533.16

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Solution

The fourth proportional to 7,230.76, 10,842.78 and 3,533.16 is: 5,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.76 : 10,842.78 = 3,533.16 : x
  2. Step 2: Convert to fraction form
    7,230.76/10,842.78 = 3,533.16/x
  3. Step 3: Cross multiply
    7,230.76x = 10,842.78 × 3,533.16
  4. Step 4: Simplify right side
    7,230.76x = 38,309,276.58
  5. Step 5: Solve for x
    x = 38,309,276.58/7,230.76
  6. Step 6: Final answer
    x = 5,298.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.