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Finding the Fourth Proportional to 6,298.76, 9,448.67 and 1,916.25

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Solution

The fourth proportional to 6,298.76, 9,448.67 and 1,916.25 is: 2,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.76 : 9,448.67 = 1,916.25 : x
  2. Step 2: Convert to fraction form
    6,298.76/9,448.67 = 1,916.25/x
  3. Step 3: Cross multiply
    6,298.76x = 9,448.67 × 1,916.25
  4. Step 4: Simplify right side
    6,298.76x = 18,106,013.89
  5. Step 5: Solve for x
    x = 18,106,013.89/6,298.76
  6. Step 6: Final answer
    x = 2,874.54

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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.