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Finding the Fourth Proportional to 4,961.51, 7,442.19 and 1,498.76

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Solution

The fourth proportional to 4,961.51, 7,442.19 and 1,498.76 is: 2,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.51 : 7,442.19 = 1,498.76 : x
  2. Step 2: Convert to fraction form
    4,961.51/7,442.19 = 1,498.76/x
  3. Step 3: Cross multiply
    4,961.51x = 7,442.19 × 1,498.76
  4. Step 4: Simplify right side
    4,961.51x = 11,154,019.47
  5. Step 5: Solve for x
    x = 11,154,019.47/4,961.51
  6. Step 6: Final answer
    x = 2,248.11

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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.