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Finding the Fourth Proportional to 14,437.75, 19,924.10 and 7,813.75

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Solution

The fourth proportional to 14,437.75, 19,924.10 and 7,813.75 is: 10,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.75 : 19,924.10 = 7,813.75 : x
  2. Step 2: Convert to fraction form
    14,437.75/19,924.10 = 7,813.75/x
  3. Step 3: Cross multiply
    14,437.75x = 19,924.10 × 7,813.75
  4. Step 4: Simplify right side
    14,437.75x = 155,681,897.31
  5. Step 5: Solve for x
    x = 155,681,897.31/14,437.75
  6. Step 6: Final answer
    x = 10,782.98

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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.