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Finding the Fourth Proportional to 15,190.98, 20,973.87 and 9,528.06

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Solution

The fourth proportional to 15,190.98, 20,973.87 and 9,528.06 is: 13,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,190.98 : 20,973.87 = 9,528.06 : x
  2. Step 2: Convert to fraction form
    15,190.98/20,973.87 = 9,528.06/x
  3. Step 3: Cross multiply
    15,190.98x = 20,973.87 × 9,528.06
  4. Step 4: Simplify right side
    15,190.98x = 199,840,291.79
  5. Step 5: Solve for x
    x = 199,840,291.79/15,190.98
  6. Step 6: Final answer
    x = 13,155.19

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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.