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Finding the Fourth Proportional to 9,907.23, 13,656.66 and 7,385.50

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Solution

The fourth proportional to 9,907.23, 13,656.66 and 7,385.50 is: 10,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.23 : 13,656.66 = 7,385.50 : x
  2. Step 2: Convert to fraction form
    9,907.23/13,656.66 = 7,385.50/x
  3. Step 3: Cross multiply
    9,907.23x = 13,656.66 × 7,385.50
  4. Step 4: Simplify right side
    9,907.23x = 100,861,262.43
  5. Step 5: Solve for x
    x = 100,861,262.43/9,907.23
  6. Step 6: Final answer
    x = 10,180.57

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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.