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Finding the Fourth Proportional to 15,986.34, 22,065.03 and 9,697.50

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Solution

The fourth proportional to 15,986.34, 22,065.03 and 9,697.50 is: 13,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.34 : 22,065.03 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    15,986.34/22,065.03 = 9,697.50/x
  3. Step 3: Cross multiply
    15,986.34x = 22,065.03 × 9,697.50
  4. Step 4: Simplify right side
    15,986.34x = 213,975,628.43
  5. Step 5: Solve for x
    x = 213,975,628.43/15,986.34
  6. Step 6: Final answer
    x = 13,384.90

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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.