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Finding the Fourth Proportional to 6,987, 10,482.12 and 2,370

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Solution

The fourth proportional to 6,987, 10,482.12 and 2,370 is: 3,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987 : 10,482.12 = 2,370 : x
  2. Step 2: Convert to fraction form
    6,987/10,482.12 = 2,370/x
  3. Step 3: Cross multiply
    6,987x = 10,482.12 × 2,370
  4. Step 4: Simplify right side
    6,987x = 24,842,624.40
  5. Step 5: Solve for x
    x = 24,842,624.40/6,987
  6. Step 6: Final answer
    x = 3,555.55

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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.