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Finding the Fourth Proportional to 12,473.65, 18,710.48 and 6,224.32

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Solution

The fourth proportional to 12,473.65, 18,710.48 and 6,224.32 is: 9,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.65 : 18,710.48 = 6,224.32 : x
  2. Step 2: Convert to fraction form
    12,473.65/18,710.48 = 6,224.32/x
  3. Step 3: Cross multiply
    12,473.65x = 18,710.48 × 6,224.32
  4. Step 4: Simplify right side
    12,473.65x = 116,460,014.87
  5. Step 5: Solve for x
    x = 116,460,014.87/12,473.65
  6. Step 6: Final answer
    x = 9,336.48

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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.