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Finding the Fourth Proportional to 14,795.33, 20,419.47 and 9,770.09

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Solution

The fourth proportional to 14,795.33, 20,419.47 and 9,770.09 is: 13,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,795.33 : 20,419.47 = 9,770.09 : x
  2. Step 2: Convert to fraction form
    14,795.33/20,419.47 = 9,770.09/x
  3. Step 3: Cross multiply
    14,795.33x = 20,419.47 × 9,770.09
  4. Step 4: Simplify right side
    14,795.33x = 199,499,957.55
  5. Step 5: Solve for x
    x = 199,499,957.55/14,795.33
  6. Step 6: Final answer
    x = 13,483.99

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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.