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Finding the Fourth Proportional to 14,569.61, 21,859.01 and 5,209.42

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Solution

The fourth proportional to 14,569.61, 21,859.01 and 5,209.42 is: 7,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.61 : 21,859.01 = 5,209.42 : x
  2. Step 2: Convert to fraction form
    14,569.61/21,859.01 = 5,209.42/x
  3. Step 3: Cross multiply
    14,569.61x = 21,859.01 × 5,209.42
  4. Step 4: Simplify right side
    14,569.61x = 113,872,763.87
  5. Step 5: Solve for x
    x = 113,872,763.87/14,569.61
  6. Step 6: Final answer
    x = 7,815.77

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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.