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Finding the Fourth Proportional to 7,074.36, 9,758.34 and 5,482.44

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Solution

The fourth proportional to 7,074.36, 9,758.34 and 5,482.44 is: 7,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.36 : 9,758.34 = 5,482.44 : x
  2. Step 2: Convert to fraction form
    7,074.36/9,758.34 = 5,482.44/x
  3. Step 3: Cross multiply
    7,074.36x = 9,758.34 × 5,482.44
  4. Step 4: Simplify right side
    7,074.36x = 53,499,513.55
  5. Step 5: Solve for x
    x = 53,499,513.55/7,074.36
  6. Step 6: Final answer
    x = 7,562.45

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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.