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Finding the Fourth Proportional to 15,698.16, 23,527.22 and 7,359.78

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Solution

The fourth proportional to 15,698.16, 23,527.22 and 7,359.78 is: 11,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.16 : 23,527.22 = 7,359.78 : x
  2. Step 2: Convert to fraction form
    15,698.16/23,527.22 = 7,359.78/x
  3. Step 3: Cross multiply
    15,698.16x = 23,527.22 × 7,359.78
  4. Step 4: Simplify right side
    15,698.16x = 173,155,163.21
  5. Step 5: Solve for x
    x = 173,155,163.21/15,698.16
  6. Step 6: Final answer
    x = 11,030.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.