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Finding the Fourth Proportional to 14,059.59, 19,403.06 and 7,772.55

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Solution

The fourth proportional to 14,059.59, 19,403.06 and 7,772.55 is: 10,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.59 : 19,403.06 = 7,772.55 : x
  2. Step 2: Convert to fraction form
    14,059.59/19,403.06 = 7,772.55/x
  3. Step 3: Cross multiply
    14,059.59x = 19,403.06 × 7,772.55
  4. Step 4: Simplify right side
    14,059.59x = 150,811,215.14
  5. Step 5: Solve for x
    x = 150,811,215.14/14,059.59
  6. Step 6: Final answer
    x = 10,726.57

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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.