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Finding the Fourth Proportional to 4,957.89, 7,448.44 and 4,677.67

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Solution

The fourth proportional to 4,957.89, 7,448.44 and 4,677.67 is: 7,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.89 : 7,448.44 = 4,677.67 : x
  2. Step 2: Convert to fraction form
    4,957.89/7,448.44 = 4,677.67/x
  3. Step 3: Cross multiply
    4,957.89x = 7,448.44 × 4,677.67
  4. Step 4: Simplify right side
    4,957.89x = 34,841,344.33
  5. Step 5: Solve for x
    x = 34,841,344.33/4,957.89
  6. Step 6: Final answer
    x = 7,027.45

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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.