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Finding the Fourth Proportional to 14,110.69, 19,472.64 and 7,823.05

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Solution

The fourth proportional to 14,110.69, 19,472.64 and 7,823.05 is: 10,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.69 : 19,472.64 = 7,823.05 : x
  2. Step 2: Convert to fraction form
    14,110.69/19,472.64 = 7,823.05/x
  3. Step 3: Cross multiply
    14,110.69x = 19,472.64 × 7,823.05
  4. Step 4: Simplify right side
    14,110.69x = 152,335,436.35
  5. Step 5: Solve for x
    x = 152,335,436.35/14,110.69
  6. Step 6: Final answer
    x = 10,795.75

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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.