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Finding the Fourth Proportional to 12,225.08, 18,322.50 and 6,964.50

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Solution

The fourth proportional to 12,225.08, 18,322.50 and 6,964.50 is: 10,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.08 : 18,322.50 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    12,225.08/18,322.50 = 6,964.50/x
  3. Step 3: Cross multiply
    12,225.08x = 18,322.50 × 6,964.50
  4. Step 4: Simplify right side
    12,225.08x = 127,607,051.25
  5. Step 5: Solve for x
    x = 127,607,051.25/12,225.08
  6. Step 6: Final answer
    x = 10,438.14

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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.