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Finding the Fourth Proportional to 7,797.94, 10,765.92 and 5,075.07

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Solution

The fourth proportional to 7,797.94, 10,765.92 and 5,075.07 is: 7,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.94 : 10,765.92 = 5,075.07 : x
  2. Step 2: Convert to fraction form
    7,797.94/10,765.92 = 5,075.07/x
  3. Step 3: Cross multiply
    7,797.94x = 10,765.92 × 5,075.07
  4. Step 4: Simplify right side
    7,797.94x = 54,637,797.61
  5. Step 5: Solve for x
    x = 54,637,797.61/7,797.94
  6. Step 6: Final answer
    x = 7,006.70

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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.