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Finding the Fourth Proportional to 10,798.75, 14,907.27 and 7,614.64

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Solution

The fourth proportional to 10,798.75, 14,907.27 and 7,614.64 is: 10,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.75 : 14,907.27 = 7,614.64 : x
  2. Step 2: Convert to fraction form
    10,798.75/14,907.27 = 7,614.64/x
  3. Step 3: Cross multiply
    10,798.75x = 14,907.27 × 7,614.64
  4. Step 4: Simplify right side
    10,798.75x = 113,513,494.43
  5. Step 5: Solve for x
    x = 113,513,494.43/10,798.75
  6. Step 6: Final answer
    x = 10,511.73

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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.