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Finding the Fourth Proportional to 6,274.64, 8,658.84 and 3,480.16

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Solution

The fourth proportional to 6,274.64, 8,658.84 and 3,480.16 is: 4,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.64 : 8,658.84 = 3,480.16 : x
  2. Step 2: Convert to fraction form
    6,274.64/8,658.84 = 3,480.16/x
  3. Step 3: Cross multiply
    6,274.64x = 8,658.84 × 3,480.16
  4. Step 4: Simplify right side
    6,274.64x = 30,134,148.61
  5. Step 5: Solve for x
    x = 30,134,148.61/6,274.64
  6. Step 6: Final answer
    x = 4,802.53

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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.