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Finding the Fourth Proportional to 13,907.15, 19,186.98 and 9,657.08

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Solution

The fourth proportional to 13,907.15, 19,186.98 and 9,657.08 is: 13,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.15 : 19,186.98 = 9,657.08 : x
  2. Step 2: Convert to fraction form
    13,907.15/19,186.98 = 9,657.08/x
  3. Step 3: Cross multiply
    13,907.15x = 19,186.98 × 9,657.08
  4. Step 4: Simplify right side
    13,907.15x = 185,290,200.82
  5. Step 5: Solve for x
    x = 185,290,200.82/13,907.15
  6. Step 6: Final answer
    x = 13,323.38

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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.