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Finding the Fourth Proportional to 7,202.84, 9,875.08 and 7,071.62

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Solution

The fourth proportional to 7,202.84, 9,875.08 and 7,071.62 is: 9,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.84 : 9,875.08 = 7,071.62 : x
  2. Step 2: Convert to fraction form
    7,202.84/9,875.08 = 7,071.62/x
  3. Step 3: Cross multiply
    7,202.84x = 9,875.08 × 7,071.62
  4. Step 4: Simplify right side
    7,202.84x = 69,832,813.23
  5. Step 5: Solve for x
    x = 69,832,813.23/7,202.84
  6. Step 6: Final answer
    x = 9,695.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.