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Finding the Fourth Proportional to 4,677.74, 7,011.87 and 3,035.33

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Solution

The fourth proportional to 4,677.74, 7,011.87 and 3,035.33 is: 4,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.74 : 7,011.87 = 3,035.33 : x
  2. Step 2: Convert to fraction form
    4,677.74/7,011.87 = 3,035.33/x
  3. Step 3: Cross multiply
    4,677.74x = 7,011.87 × 3,035.33
  4. Step 4: Simplify right side
    4,677.74x = 21,283,304.31
  5. Step 5: Solve for x
    x = 21,283,304.31/4,677.74
  6. Step 6: Final answer
    x = 4,549.92

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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.