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Finding the Fourth Proportional to 4,657.78, 6,987.06 and 1,195

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Solution

The fourth proportional to 4,657.78, 6,987.06 and 1,195 is: 1,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.78 : 6,987.06 = 1,195 : x
  2. Step 2: Convert to fraction form
    4,657.78/6,987.06 = 1,195/x
  3. Step 3: Cross multiply
    4,657.78x = 6,987.06 × 1,195
  4. Step 4: Simplify right side
    4,657.78x = 8,349,536.70
  5. Step 5: Solve for x
    x = 8,349,536.70/4,657.78
  6. Step 6: Final answer
    x = 1,792.60

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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.