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Finding the Fourth Proportional to 9,348.73, 12,902.49 and 5,946.06

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Solution

The fourth proportional to 9,348.73, 12,902.49 and 5,946.06 is: 8,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.73 : 12,902.49 = 5,946.06 : x
  2. Step 2: Convert to fraction form
    9,348.73/12,902.49 = 5,946.06/x
  3. Step 3: Cross multiply
    9,348.73x = 12,902.49 × 5,946.06
  4. Step 4: Simplify right side
    9,348.73x = 76,718,955.50
  5. Step 5: Solve for x
    x = 76,718,955.50/9,348.73
  6. Step 6: Final answer
    x = 8,206.35

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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.