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Finding the Fourth Proportional to 9,843.43, 14,748.71 and 6,916.49

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Solution

The fourth proportional to 9,843.43, 14,748.71 and 6,916.49 is: 10,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.43 : 14,748.71 = 6,916.49 : x
  2. Step 2: Convert to fraction form
    9,843.43/14,748.71 = 6,916.49/x
  3. Step 3: Cross multiply
    9,843.43x = 14,748.71 × 6,916.49
  4. Step 4: Simplify right side
    9,843.43x = 102,009,319.29
  5. Step 5: Solve for x
    x = 102,009,319.29/9,843.43
  6. Step 6: Final answer
    x = 10,363.19

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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.