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Finding the Fourth Proportional to 7,083.72, 9,788.76 and 5,403.60

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Solution

The fourth proportional to 7,083.72, 9,788.76 and 5,403.60 is: 7,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.72 : 9,788.76 = 5,403.60 : x
  2. Step 2: Convert to fraction form
    7,083.72/9,788.76 = 5,403.60/x
  3. Step 3: Cross multiply
    7,083.72x = 9,788.76 × 5,403.60
  4. Step 4: Simplify right side
    7,083.72x = 52,894,543.54
  5. Step 5: Solve for x
    x = 52,894,543.54/7,083.72
  6. Step 6: Final answer
    x = 7,467.06

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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.