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Finding the Fourth Proportional to 12,223.74, 16,868.27 and 6,918.68

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Solution

The fourth proportional to 12,223.74, 16,868.27 and 6,918.68 is: 9,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.74 : 16,868.27 = 6,918.68 : x
  2. Step 2: Convert to fraction form
    12,223.74/16,868.27 = 6,918.68/x
  3. Step 3: Cross multiply
    12,223.74x = 16,868.27 × 6,918.68
  4. Step 4: Simplify right side
    12,223.74x = 116,706,043.35
  5. Step 5: Solve for x
    x = 116,706,043.35/12,223.74
  6. Step 6: Final answer
    x = 9,547.49

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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.