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Finding the Fourth Proportional to 14,576.16, 21,848.04 and 7,987.62

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Solution

The fourth proportional to 14,576.16, 21,848.04 and 7,987.62 is: 11,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.16 : 21,848.04 = 7,987.62 : x
  2. Step 2: Convert to fraction form
    14,576.16/21,848.04 = 7,987.62/x
  3. Step 3: Cross multiply
    14,576.16x = 21,848.04 × 7,987.62
  4. Step 4: Simplify right side
    14,576.16x = 174,513,841.26
  5. Step 5: Solve for x
    x = 174,513,841.26/14,576.16
  6. Step 6: Final answer
    x = 11,972.55

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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.