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Finding the Fourth Proportional to 4,864.93, 7,238.97 and 4,848.53

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Solution

The fourth proportional to 4,864.93, 7,238.97 and 4,848.53 is: 7,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.93 : 7,238.97 = 4,848.53 : x
  2. Step 2: Convert to fraction form
    4,864.93/7,238.97 = 4,848.53/x
  3. Step 3: Cross multiply
    4,864.93x = 7,238.97 × 4,848.53
  4. Step 4: Simplify right side
    4,864.93x = 35,098,327.02
  5. Step 5: Solve for x
    x = 35,098,327.02/4,864.93
  6. Step 6: Final answer
    x = 7,214.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.