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Finding the Fourth Proportional to 14,197.79, 19,593.80 and 7,824.36

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Solution

The fourth proportional to 14,197.79, 19,593.80 and 7,824.36 is: 10,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.79 : 19,593.80 = 7,824.36 : x
  2. Step 2: Convert to fraction form
    14,197.79/19,593.80 = 7,824.36/x
  3. Step 3: Cross multiply
    14,197.79x = 19,593.80 × 7,824.36
  4. Step 4: Simplify right side
    14,197.79x = 153,308,964.53
  5. Step 5: Solve for x
    x = 153,308,964.53/14,197.79
  6. Step 6: Final answer
    x = 10,798.08

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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.