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Finding the Fourth Proportional to 7,949.74, 10,971 and 4,413

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Solution

The fourth proportional to 7,949.74, 10,971 and 4,413 is: 6,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.74 : 10,971 = 4,413 : x
  2. Step 2: Convert to fraction form
    7,949.74/10,971 = 4,413/x
  3. Step 3: Cross multiply
    7,949.74x = 10,971 × 4,413
  4. Step 4: Simplify right side
    7,949.74x = 48,415,023
  5. Step 5: Solve for x
    x = 48,415,023/7,949.74
  6. Step 6: Final answer
    x = 6,090.14

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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.