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Finding the Fourth Proportional to 9,792.70, 14,689.08 and 3,219.40

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Solution

The fourth proportional to 9,792.70, 14,689.08 and 3,219.40 is: 4,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.70 : 14,689.08 = 3,219.40 : x
  2. Step 2: Convert to fraction form
    9,792.70/14,689.08 = 3,219.40/x
  3. Step 3: Cross multiply
    9,792.70x = 14,689.08 × 3,219.40
  4. Step 4: Simplify right side
    9,792.70x = 47,290,024.15
  5. Step 5: Solve for x
    x = 47,290,024.15/9,792.70
  6. Step 6: Final answer
    x = 4,829.11

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Similar ratio
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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.