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Finding the Fourth Proportional to 12,699.96, 17,527.20 and 9,507.63

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Solution

The fourth proportional to 12,699.96, 17,527.20 and 9,507.63 is: 13,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.96 : 17,527.20 = 9,507.63 : x
  2. Step 2: Convert to fraction form
    12,699.96/17,527.20 = 9,507.63/x
  3. Step 3: Cross multiply
    12,699.96x = 17,527.20 × 9,507.63
  4. Step 4: Simplify right side
    12,699.96x = 166,642,117.50
  5. Step 5: Solve for x
    x = 166,642,117.50/12,699.96
  6. Step 6: Final answer
    x = 13,121.47

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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.