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Finding the Fourth Proportional to 8,947.16, 12,346.98 and 4,968.98

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Solution

The fourth proportional to 8,947.16, 12,346.98 and 4,968.98 is: 6,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.16 : 12,346.98 = 4,968.98 : x
  2. Step 2: Convert to fraction form
    8,947.16/12,346.98 = 4,968.98/x
  3. Step 3: Cross multiply
    8,947.16x = 12,346.98 × 4,968.98
  4. Step 4: Simplify right side
    8,947.16x = 61,351,896.68
  5. Step 5: Solve for x
    x = 61,351,896.68/8,947.16
  6. Step 6: Final answer
    x = 6,857.14

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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.