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Finding the Fourth Proportional to 8,547.09, 12,820.64 and 6,826.65

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Solution

The fourth proportional to 8,547.09, 12,820.64 and 6,826.65 is: 10,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.09 : 12,820.64 = 6,826.65 : x
  2. Step 2: Convert to fraction form
    8,547.09/12,820.64 = 6,826.65/x
  3. Step 3: Cross multiply
    8,547.09x = 12,820.64 × 6,826.65
  4. Step 4: Simplify right side
    8,547.09x = 87,521,987.92
  5. Step 5: Solve for x
    x = 87,521,987.92/8,547.09
  6. Step 6: Final answer
    x = 10,239.98

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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.