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Finding the Fourth Proportional to 4,857.78, 6,706.53 and 3,266.74

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Solution

The fourth proportional to 4,857.78, 6,706.53 and 3,266.74 is: 4,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.78 : 6,706.53 = 3,266.74 : x
  2. Step 2: Convert to fraction form
    4,857.78/6,706.53 = 3,266.74/x
  3. Step 3: Cross multiply
    4,857.78x = 6,706.53 × 3,266.74
  4. Step 4: Simplify right side
    4,857.78x = 21,908,498.20
  5. Step 5: Solve for x
    x = 21,908,498.20/4,857.78
  6. Step 6: Final answer
    x = 4,509.98

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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.