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Finding the Fourth Proportional to 14,161.53, 19,543.14 and 7,788.39

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Solution

The fourth proportional to 14,161.53, 19,543.14 and 7,788.39 is: 10,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.53 : 19,543.14 = 7,788.39 : x
  2. Step 2: Convert to fraction form
    14,161.53/19,543.14 = 7,788.39/x
  3. Step 3: Cross multiply
    14,161.53x = 19,543.14 × 7,788.39
  4. Step 4: Simplify right side
    14,161.53x = 152,209,596.14
  5. Step 5: Solve for x
    x = 152,209,596.14/14,161.53
  6. Step 6: Final answer
    x = 10,748.10

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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.