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Finding the Fourth Proportional to 12,114.65, 16,719.78 and 6,809.51

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Solution

The fourth proportional to 12,114.65, 16,719.78 and 6,809.51 is: 9,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.65 : 16,719.78 = 6,809.51 : x
  2. Step 2: Convert to fraction form
    12,114.65/16,719.78 = 6,809.51/x
  3. Step 3: Cross multiply
    12,114.65x = 16,719.78 × 6,809.51
  4. Step 4: Simplify right side
    12,114.65x = 113,853,509.11
  5. Step 5: Solve for x
    x = 113,853,509.11/12,114.65
  6. Step 6: Final answer
    x = 9,398.00

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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.