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Finding the Fourth Proportional to 9,492, 14,244.48 and 6,912.96

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Solution

The fourth proportional to 9,492, 14,244.48 and 6,912.96 is: 10,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492 : 14,244.48 = 6,912.96 : x
  2. Step 2: Convert to fraction form
    9,492/14,244.48 = 6,912.96/x
  3. Step 3: Cross multiply
    9,492x = 14,244.48 × 6,912.96
  4. Step 4: Simplify right side
    9,492x = 98,471,520.46
  5. Step 5: Solve for x
    x = 98,471,520.46/9,492
  6. Step 6: Final answer
    x = 10,374.16

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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.