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Finding the Fourth Proportional to 7,998.43, 11,038 and 4,461.27

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Solution

The fourth proportional to 7,998.43, 11,038 and 4,461.27 is: 6,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.43 : 11,038 = 4,461.27 : x
  2. Step 2: Convert to fraction form
    7,998.43/11,038 = 4,461.27/x
  3. Step 3: Cross multiply
    7,998.43x = 11,038 × 4,461.27
  4. Step 4: Simplify right side
    7,998.43x = 49,243,498.26
  5. Step 5: Solve for x
    x = 49,243,498.26/7,998.43
  6. Step 6: Final answer
    x = 6,156.65

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Half scale
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Double scale
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1.5x scale

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.