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Finding the Fourth Proportional to 7,538.18, 10,396.74 and 7,035.14

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Solution

The fourth proportional to 7,538.18, 10,396.74 and 7,035.14 is: 9,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.18 : 10,396.74 = 7,035.14 : x
  2. Step 2: Convert to fraction form
    7,538.18/10,396.74 = 7,035.14/x
  3. Step 3: Cross multiply
    7,538.18x = 10,396.74 × 7,035.14
  4. Step 4: Simplify right side
    7,538.18x = 73,142,521.44
  5. Step 5: Solve for x
    x = 73,142,521.44/7,538.18
  6. Step 6: Final answer
    x = 9,702.94

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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.