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Finding the Fourth Proportional to 7,442.12, 10,277.04 and 4,794.12

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Solution

The fourth proportional to 7,442.12, 10,277.04 and 4,794.12 is: 6,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.12 : 10,277.04 = 4,794.12 : x
  2. Step 2: Convert to fraction form
    7,442.12/10,277.04 = 4,794.12/x
  3. Step 3: Cross multiply
    7,442.12x = 10,277.04 × 4,794.12
  4. Step 4: Simplify right side
    7,442.12x = 49,269,363.00
  5. Step 5: Solve for x
    x = 49,269,363.00/7,442.12
  6. Step 6: Final answer
    x = 6,620.34

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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.