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Finding the Fourth Proportional to 12,477.34, 17,218.99 and 6,812.33

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Solution

The fourth proportional to 12,477.34, 17,218.99 and 6,812.33 is: 9,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.34 : 17,218.99 = 6,812.33 : x
  2. Step 2: Convert to fraction form
    12,477.34/17,218.99 = 6,812.33/x
  3. Step 3: Cross multiply
    12,477.34x = 17,218.99 × 6,812.33
  4. Step 4: Simplify right side
    12,477.34x = 117,301,364.57
  5. Step 5: Solve for x
    x = 117,301,364.57/12,477.34
  6. Step 6: Final answer
    x = 9,401.15

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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.