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Finding the Fourth Proportional to 7,102.74, 9,797.85 and 6,602.34

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Solution

The fourth proportional to 7,102.74, 9,797.85 and 6,602.34 is: 9,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.74 : 9,797.85 = 6,602.34 : x
  2. Step 2: Convert to fraction form
    7,102.74/9,797.85 = 6,602.34/x
  3. Step 3: Cross multiply
    7,102.74x = 9,797.85 × 6,602.34
  4. Step 4: Simplify right side
    7,102.74x = 64,688,736.97
  5. Step 5: Solve for x
    x = 64,688,736.97/7,102.74
  6. Step 6: Final answer
    x = 9,107.57

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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.