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Finding the Fourth Proportional to 14,534.40, 21,772.80 and 7,948.80

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Solution

The fourth proportional to 14,534.40, 21,772.80 and 7,948.80 is: 11,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.40 : 21,772.80 = 7,948.80 : x
  2. Step 2: Convert to fraction form
    14,534.40/21,772.80 = 7,948.80/x
  3. Step 3: Cross multiply
    14,534.40x = 21,772.80 × 7,948.80
  4. Step 4: Simplify right side
    14,534.40x = 173,067,632.64
  5. Step 5: Solve for x
    x = 173,067,632.64/14,534.40
  6. Step 6: Final answer
    x = 11,907.45

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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.