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Finding the Fourth Proportional to 9,746, 13,449.48 and 5,330

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Solution

The fourth proportional to 9,746, 13,449.48 and 5,330 is: 7,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746 : 13,449.48 = 5,330 : x
  2. Step 2: Convert to fraction form
    9,746/13,449.48 = 5,330/x
  3. Step 3: Cross multiply
    9,746x = 13,449.48 × 5,330
  4. Step 4: Simplify right side
    9,746x = 71,685,728.40
  5. Step 5: Solve for x
    x = 71,685,728.40/9,746
  6. Step 6: Final answer
    x = 7,355.40

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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.