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Finding the Fourth Proportional to 8,973.76, 12,384.19 and 5,197.09

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Solution

The fourth proportional to 8,973.76, 12,384.19 and 5,197.09 is: 7,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.76 : 12,384.19 = 5,197.09 : x
  2. Step 2: Convert to fraction form
    8,973.76/12,384.19 = 5,197.09/x
  3. Step 3: Cross multiply
    8,973.76x = 12,384.19 × 5,197.09
  4. Step 4: Simplify right side
    8,973.76x = 64,361,750.01
  5. Step 5: Solve for x
    x = 64,361,750.01/8,973.76
  6. Step 6: Final answer
    x = 7,172.22

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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.