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Finding the Fourth Proportional to 9,843.14, 14,748.26 and 6,916.20

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Solution

The fourth proportional to 9,843.14, 14,748.26 and 6,916.20 is: 10,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.14 : 14,748.26 = 6,916.20 : x
  2. Step 2: Convert to fraction form
    9,843.14/14,748.26 = 6,916.20/x
  3. Step 3: Cross multiply
    9,843.14x = 14,748.26 × 6,916.20
  4. Step 4: Simplify right side
    9,843.14x = 102,001,915.81
  5. Step 5: Solve for x
    x = 102,001,915.81/9,843.14
  6. Step 6: Final answer
    x = 10,362.74

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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.