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Finding the Fourth Proportional to 8,097.35, 12,152.50 and 4,202.87

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Solution

The fourth proportional to 8,097.35, 12,152.50 and 4,202.87 is: 6,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.35 : 12,152.50 = 4,202.87 : x
  2. Step 2: Convert to fraction form
    8,097.35/12,152.50 = 4,202.87/x
  3. Step 3: Cross multiply
    8,097.35x = 12,152.50 × 4,202.87
  4. Step 4: Simplify right side
    8,097.35x = 51,075,306.41
  5. Step 5: Solve for x
    x = 51,075,306.41/8,097.35
  6. Step 6: Final answer
    x = 6,307.66

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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.