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Finding the Fourth Proportional to 14,197.32, 19,593.16 and 7,823.89

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Solution

The fourth proportional to 14,197.32, 19,593.16 and 7,823.89 is: 10,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.32 : 19,593.16 = 7,823.89 : x
  2. Step 2: Convert to fraction form
    14,197.32/19,593.16 = 7,823.89/x
  3. Step 3: Cross multiply
    14,197.32x = 19,593.16 × 7,823.89
  4. Step 4: Simplify right side
    14,197.32x = 153,294,788.63
  5. Step 5: Solve for x
    x = 153,294,788.63/14,197.32
  6. Step 6: Final answer
    x = 10,797.45

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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.