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Finding the Fourth Proportional to 6,298.89, 9,448.28 and 1,916.34

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Solution

The fourth proportional to 6,298.89, 9,448.28 and 1,916.34 is: 2,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.89 : 9,448.28 = 1,916.34 : x
  2. Step 2: Convert to fraction form
    6,298.89/9,448.28 = 1,916.34/x
  3. Step 3: Cross multiply
    6,298.89x = 9,448.28 × 1,916.34
  4. Step 4: Simplify right side
    6,298.89x = 18,106,116.90
  5. Step 5: Solve for x
    x = 18,106,116.90/6,298.89
  6. Step 6: Final answer
    x = 2,874.49

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Half scale
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Double scale
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Similar ratio
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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.