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Finding the Fourth Proportional to 14,348.84, 21,503.82 and 7,428.20

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Solution

The fourth proportional to 14,348.84, 21,503.82 and 7,428.20 is: 11,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.84 : 21,503.82 = 7,428.20 : x
  2. Step 2: Convert to fraction form
    14,348.84/21,503.82 = 7,428.20/x
  3. Step 3: Cross multiply
    14,348.84x = 21,503.82 × 7,428.20
  4. Step 4: Simplify right side
    14,348.84x = 159,734,675.72
  5. Step 5: Solve for x
    x = 159,734,675.72/14,348.84
  6. Step 6: Final answer
    x = 11,132.24

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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.