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Finding the Fourth Proportional to 9,266.92, 12,788.42 and 5,075.08

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Solution

The fourth proportional to 9,266.92, 12,788.42 and 5,075.08 is: 7,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.92 : 12,788.42 = 5,075.08 : x
  2. Step 2: Convert to fraction form
    9,266.92/12,788.42 = 5,075.08/x
  3. Step 3: Cross multiply
    9,266.92x = 12,788.42 × 5,075.08
  4. Step 4: Simplify right side
    9,266.92x = 64,902,254.57
  5. Step 5: Solve for x
    x = 64,902,254.57/9,266.92
  6. Step 6: Final answer
    x = 7,003.65

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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.