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Finding the Fourth Proportional to 7,310, 10,970.04 and 6,335.12

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Solution

The fourth proportional to 7,310, 10,970.04 and 6,335.12 is: 9,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310 : 10,970.04 = 6,335.12 : x
  2. Step 2: Convert to fraction form
    7,310/10,970.04 = 6,335.12/x
  3. Step 3: Cross multiply
    7,310x = 10,970.04 × 6,335.12
  4. Step 4: Simplify right side
    7,310x = 69,496,519.80
  5. Step 5: Solve for x
    x = 69,496,519.80/7,310
  6. Step 6: Final answer
    x = 9,507.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.