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Finding the Fourth Proportional to 4,628.16, 6,942.24 and 1,165.68

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Solution

The fourth proportional to 4,628.16, 6,942.24 and 1,165.68 is: 1,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.16 : 6,942.24 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    4,628.16/6,942.24 = 1,165.68/x
  3. Step 3: Cross multiply
    4,628.16x = 6,942.24 × 1,165.68
  4. Step 4: Simplify right side
    4,628.16x = 8,092,430.32
  5. Step 5: Solve for x
    x = 8,092,430.32/4,628.16
  6. Step 6: Final answer
    x = 1,748.52

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Double scale
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Similar ratio
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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.