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Finding the Fourth Proportional to 7,445.44, 10,274 and 4,460.72

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Solution

The fourth proportional to 7,445.44, 10,274 and 4,460.72 is: 6,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.44 : 10,274 = 4,460.72 : x
  2. Step 2: Convert to fraction form
    7,445.44/10,274 = 4,460.72/x
  3. Step 3: Cross multiply
    7,445.44x = 10,274 × 4,460.72
  4. Step 4: Simplify right side
    7,445.44x = 45,829,437.28
  5. Step 5: Solve for x
    x = 45,829,437.28/7,445.44
  6. Step 6: Final answer
    x = 6,155.37

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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.