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Finding the Fourth Proportional to 7,097.04, 10,634.04 and 5,140.08

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Solution

The fourth proportional to 7,097.04, 10,634.04 and 5,140.08 is: 7,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.04 : 10,634.04 = 5,140.08 : x
  2. Step 2: Convert to fraction form
    7,097.04/10,634.04 = 5,140.08/x
  3. Step 3: Cross multiply
    7,097.04x = 10,634.04 × 5,140.08
  4. Step 4: Simplify right side
    7,097.04x = 54,659,816.32
  5. Step 5: Solve for x
    x = 54,659,816.32/7,097.04
  6. Step 6: Final answer
    x = 7,701.78

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1.5x scale

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.