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Finding the Fourth Proportional to 38,496.50, 57,744.75 and 9,312.50

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Solution

The fourth proportional to 38,496.50, 57,744.75 and 9,312.50 is: 13,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.50 : 57,744.75 = 9,312.50 : x
  2. Step 2: Convert to fraction form
    38,496.50/57,744.75 = 9,312.50/x
  3. Step 3: Cross multiply
    38,496.50x = 57,744.75 × 9,312.50
  4. Step 4: Simplify right side
    38,496.50x = 537,747,984.38
  5. Step 5: Solve for x
    x = 537,747,984.38/38,496.50
  6. Step 6: Final answer
    x = 13,968.75

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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.