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Finding the Fourth Proportional to 6,397.14, 8,828.70 and 3,564.98

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Solution

The fourth proportional to 6,397.14, 8,828.70 and 3,564.98 is: 4,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.14 : 8,828.70 = 3,564.98 : x
  2. Step 2: Convert to fraction form
    6,397.14/8,828.70 = 3,564.98/x
  3. Step 3: Cross multiply
    6,397.14x = 8,828.70 × 3,564.98
  4. Step 4: Simplify right side
    6,397.14x = 31,474,094.78
  5. Step 5: Solve for x
    x = 31,474,094.78/6,397.14
  6. Step 6: Final answer
    x = 4,920.03

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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.