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Finding the Fourth Proportional to 6,294.16, 8,685.35 and 3,461.54

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Solution

The fourth proportional to 6,294.16, 8,685.35 and 3,461.54 is: 4,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.16 : 8,685.35 = 3,461.54 : x
  2. Step 2: Convert to fraction form
    6,294.16/8,685.35 = 3,461.54/x
  3. Step 3: Cross multiply
    6,294.16x = 8,685.35 × 3,461.54
  4. Step 4: Simplify right side
    6,294.16x = 30,064,648.42
  5. Step 5: Solve for x
    x = 30,064,648.42/6,294.16
  6. Step 6: Final answer
    x = 4,776.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.