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Finding the Fourth Proportional to 7,097.66, 10,646.67 and 2,167.35

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Solution

The fourth proportional to 7,097.66, 10,646.67 and 2,167.35 is: 3,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.66 : 10,646.67 = 2,167.35 : x
  2. Step 2: Convert to fraction form
    7,097.66/10,646.67 = 2,167.35/x
  3. Step 3: Cross multiply
    7,097.66x = 10,646.67 × 2,167.35
  4. Step 4: Simplify right side
    7,097.66x = 23,075,060.22
  5. Step 5: Solve for x
    x = 23,075,060.22/7,097.66
  6. Step 6: Final answer
    x = 3,251.08

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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.