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Finding the Fourth Proportional to 12,358.36, 17,048.18 and 8,378.12

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Solution

The fourth proportional to 12,358.36, 17,048.18 and 8,378.12 is: 11,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.36 : 17,048.18 = 8,378.12 : x
  2. Step 2: Convert to fraction form
    12,358.36/17,048.18 = 8,378.12/x
  3. Step 3: Cross multiply
    12,358.36x = 17,048.18 × 8,378.12
  4. Step 4: Simplify right side
    12,358.36x = 142,831,697.82
  5. Step 5: Solve for x
    x = 142,831,697.82/12,358.36
  6. Step 6: Final answer
    x = 11,557.50

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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.