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Finding the Fourth Proportional to 10,422.42, 14,368 and 7,433.07

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Solution

The fourth proportional to 10,422.42, 14,368 and 7,433.07 is: 10,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.42 : 14,368 = 7,433.07 : x
  2. Step 2: Convert to fraction form
    10,422.42/14,368 = 7,433.07/x
  3. Step 3: Cross multiply
    10,422.42x = 14,368 × 7,433.07
  4. Step 4: Simplify right side
    10,422.42x = 106,798,349.76
  5. Step 5: Solve for x
    x = 106,798,349.76/10,422.42
  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.