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Finding the Fourth Proportional to 14,309.67, 19,751.67 and 9,274.17

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Solution

The fourth proportional to 14,309.67, 19,751.67 and 9,274.17 is: 12,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.67 : 19,751.67 = 9,274.17 : x
  2. Step 2: Convert to fraction form
    14,309.67/19,751.67 = 9,274.17/x
  3. Step 3: Cross multiply
    14,309.67x = 19,751.67 × 9,274.17
  4. Step 4: Simplify right side
    14,309.67x = 183,180,345.36
  5. Step 5: Solve for x
    x = 183,180,345.36/14,309.67
  6. Step 6: Final answer
    x = 12,801.16

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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.