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Finding the Fourth Proportional to 9,873.75, 14,810.64 and 2,948.25

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Solution

The fourth proportional to 9,873.75, 14,810.64 and 2,948.25 is: 4,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.75 : 14,810.64 = 2,948.25 : x
  2. Step 2: Convert to fraction form
    9,873.75/14,810.64 = 2,948.25/x
  3. Step 3: Cross multiply
    9,873.75x = 14,810.64 × 2,948.25
  4. Step 4: Simplify right side
    9,873.75x = 43,665,469.38
  5. Step 5: Solve for x
    x = 43,665,469.38/9,873.75
  6. Step 6: Final answer
    x = 4,422.38

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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.