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Finding the Fourth Proportional to 6,141.40, 9,214.80 and 2,852.80

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Solution

The fourth proportional to 6,141.40, 9,214.80 and 2,852.80 is: 4,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.40 : 9,214.80 = 2,852.80 : x
  2. Step 2: Convert to fraction form
    6,141.40/9,214.80 = 2,852.80/x
  3. Step 3: Cross multiply
    6,141.40x = 9,214.80 × 2,852.80
  4. Step 4: Simplify right side
    6,141.40x = 26,287,981.44
  5. Step 5: Solve for x
    x = 26,287,981.44/6,141.40
  6. Step 6: Final answer
    x = 4,280.45

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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.