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Finding the Fourth Proportional to 6,547.14, 9,826.88 and 4,357.41

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Solution

The fourth proportional to 6,547.14, 9,826.88 and 4,357.41 is: 6,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.14 : 9,826.88 = 4,357.41 : x
  2. Step 2: Convert to fraction form
    6,547.14/9,826.88 = 4,357.41/x
  3. Step 3: Cross multiply
    6,547.14x = 9,826.88 × 4,357.41
  4. Step 4: Simplify right side
    6,547.14x = 42,819,745.18
  5. Step 5: Solve for x
    x = 42,819,745.18/6,547.14
  6. Step 6: Final answer
    x = 6,540.22

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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.