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Finding the Fourth Proportional to 5,775.34, 7,965.42 and 4,182.20

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Solution

The fourth proportional to 5,775.34, 7,965.42 and 4,182.20 is: 5,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.34 : 7,965.42 = 4,182.20 : x
  2. Step 2: Convert to fraction form
    5,775.34/7,965.42 = 4,182.20/x
  3. Step 3: Cross multiply
    5,775.34x = 7,965.42 × 4,182.20
  4. Step 4: Simplify right side
    5,775.34x = 33,312,979.52
  5. Step 5: Solve for x
    x = 33,312,979.52/5,775.34
  6. Step 6: Final answer
    x = 5,768.14

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Half scale
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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.