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Finding the Fourth Proportional to 7,100.73, 9,820.17 and 6,214.86

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Solution

The fourth proportional to 7,100.73, 9,820.17 and 6,214.86 is: 8,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.73 : 9,820.17 = 6,214.86 : x
  2. Step 2: Convert to fraction form
    7,100.73/9,820.17 = 6,214.86/x
  3. Step 3: Cross multiply
    7,100.73x = 9,820.17 × 6,214.86
  4. Step 4: Simplify right side
    7,100.73x = 61,030,981.73
  5. Step 5: Solve for x
    x = 61,030,981.73/7,100.73
  6. Step 6: Final answer
    x = 8,595.03

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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.