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Finding the Fourth Proportional to 8,075.65, 12,100.28 and 7,768.10

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Solution

The fourth proportional to 8,075.65, 12,100.28 and 7,768.10 is: 11,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.65 : 12,100.28 = 7,768.10 : x
  2. Step 2: Convert to fraction form
    8,075.65/12,100.28 = 7,768.10/x
  3. Step 3: Cross multiply
    8,075.65x = 12,100.28 × 7,768.10
  4. Step 4: Simplify right side
    8,075.65x = 93,996,176.48
  5. Step 5: Solve for x
    x = 93,996,176.48/8,075.65
  6. Step 6: Final answer
    x = 11,639.46

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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.