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Finding the Fourth Proportional to 7,075.78, 9,764.13 and 3,931.78

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Solution

The fourth proportional to 7,075.78, 9,764.13 and 3,931.78 is: 5,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.78 : 9,764.13 = 3,931.78 : x
  2. Step 2: Convert to fraction form
    7,075.78/9,764.13 = 3,931.78/x
  3. Step 3: Cross multiply
    7,075.78x = 9,764.13 × 3,931.78
  4. Step 4: Simplify right side
    7,075.78x = 38,390,411.05
  5. Step 5: Solve for x
    x = 38,390,411.05/7,075.78
  6. Step 6: Final answer
    x = 5,425.61

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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.