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Finding the Fourth Proportional to 14,641.51, 21,934.71 and 7,237.30

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Solution

The fourth proportional to 14,641.51, 21,934.71 and 7,237.30 is: 10,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.51 : 21,934.71 = 7,237.30 : x
  2. Step 2: Convert to fraction form
    14,641.51/21,934.71 = 7,237.30/x
  3. Step 3: Cross multiply
    14,641.51x = 21,934.71 × 7,237.30
  4. Step 4: Simplify right side
    14,641.51x = 158,748,076.68
  5. Step 5: Solve for x
    x = 158,748,076.68/14,641.51
  6. Step 6: Final answer
    x = 10,842.33

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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.