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Finding the Fourth Proportional to 7,097.98, 10,646.56 and 2,713.46

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Solution

The fourth proportional to 7,097.98, 10,646.56 and 2,713.46 is: 4,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.98 : 10,646.56 = 2,713.46 : x
  2. Step 2: Convert to fraction form
    7,097.98/10,646.56 = 2,713.46/x
  3. Step 3: Cross multiply
    7,097.98x = 10,646.56 × 2,713.46
  4. Step 4: Simplify right side
    7,097.98x = 28,889,014.70
  5. Step 5: Solve for x
    x = 28,889,014.70/7,097.98
  6. Step 6: Final answer
    x = 4,070.03

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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.