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Finding the Fourth Proportional to 6,170.04, 9,255.12 and 1,787.88

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Solution

The fourth proportional to 6,170.04, 9,255.12 and 1,787.88 is: 2,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.04 : 9,255.12 = 1,787.88 : x
  2. Step 2: Convert to fraction form
    6,170.04/9,255.12 = 1,787.88/x
  3. Step 3: Cross multiply
    6,170.04x = 9,255.12 × 1,787.88
  4. Step 4: Simplify right side
    6,170.04x = 16,547,043.95
  5. Step 5: Solve for x
    x = 16,547,043.95/6,170.04
  6. Step 6: Final answer
    x = 2,681.84

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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.