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Finding the Fourth Proportional to 8,567.84, 11,840 and 6,185.68

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Solution

The fourth proportional to 8,567.84, 11,840 and 6,185.68 is: 8,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.84 : 11,840 = 6,185.68 : x
  2. Step 2: Convert to fraction form
    8,567.84/11,840 = 6,185.68/x
  3. Step 3: Cross multiply
    8,567.84x = 11,840 × 6,185.68
  4. Step 4: Simplify right side
    8,567.84x = 73,238,451.20
  5. Step 5: Solve for x
    x = 73,238,451.20/8,567.84
  6. Step 6: Final answer
    x = 8,548.06

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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.