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Finding the Fourth Proportional to 7,870.76, 10,854.17 and 6,075.38

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Solution

The fourth proportional to 7,870.76, 10,854.17 and 6,075.38 is: 8,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.76 : 10,854.17 = 6,075.38 : x
  2. Step 2: Convert to fraction form
    7,870.76/10,854.17 = 6,075.38/x
  3. Step 3: Cross multiply
    7,870.76x = 10,854.17 × 6,075.38
  4. Step 4: Simplify right side
    7,870.76x = 65,943,122.69
  5. Step 5: Solve for x
    x = 65,943,122.69/7,870.76
  6. Step 6: Final answer
    x = 8,378.24

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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.