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Finding the Fourth Proportional to 10,422.44, 14,368 and 7,433.08

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Solution

The fourth proportional to 10,422.44, 14,368 and 7,433.08 is: 10,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.44 : 14,368 = 7,433.08 : x
  2. Step 2: Convert to fraction form
    10,422.44/14,368 = 7,433.08/x
  3. Step 3: Cross multiply
    10,422.44x = 14,368 × 7,433.08
  4. Step 4: Simplify right side
    10,422.44x = 106,798,493.44
  5. Step 5: Solve for x
    x = 106,798,493.44/10,422.44
  6. Step 6: Final answer
    x = 10,246.98

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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.