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Finding the Fourth Proportional to 8,547.12, 11,796.39 and 4,962.15

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Solution

The fourth proportional to 8,547.12, 11,796.39 and 4,962.15 is: 6,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.12 : 11,796.39 = 4,962.15 : x
  2. Step 2: Convert to fraction form
    8,547.12/11,796.39 = 4,962.15/x
  3. Step 3: Cross multiply
    8,547.12x = 11,796.39 × 4,962.15
  4. Step 4: Simplify right side
    8,547.12x = 58,535,456.64
  5. Step 5: Solve for x
    x = 58,535,456.64/8,547.12
  6. Step 6: Final answer
    x = 6,848.56

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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.