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Finding the Fourth Proportional to 6,564.58, 9,841.28 and 2,864.10

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Solution

The fourth proportional to 6,564.58, 9,841.28 and 2,864.10 is: 4,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.58 : 9,841.28 = 2,864.10 : x
  2. Step 2: Convert to fraction form
    6,564.58/9,841.28 = 2,864.10/x
  3. Step 3: Cross multiply
    6,564.58x = 9,841.28 × 2,864.10
  4. Step 4: Simplify right side
    6,564.58x = 28,186,410.05
  5. Step 5: Solve for x
    x = 28,186,410.05/6,564.58
  6. Step 6: Final answer
    x = 4,293.71

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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.