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Finding the Fourth Proportional to 7,966.38, 10,993.70 and 4,984

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Solution

The fourth proportional to 7,966.38, 10,993.70 and 4,984 is: 6,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.38 : 10,993.70 = 4,984 : x
  2. Step 2: Convert to fraction form
    7,966.38/10,993.70 = 4,984/x
  3. Step 3: Cross multiply
    7,966.38x = 10,993.70 × 4,984
  4. Step 4: Simplify right side
    7,966.38x = 54,792,600.80
  5. Step 5: Solve for x
    x = 54,792,600.80/7,966.38
  6. Step 6: Final answer
    x = 6,877.98

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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.