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Finding the Fourth Proportional to 9,527.50, 13,147.95 and 5,801.50

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Solution

The fourth proportional to 9,527.50, 13,147.95 and 5,801.50 is: 8,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.50 : 13,147.95 = 5,801.50 : x
  2. Step 2: Convert to fraction form
    9,527.50/13,147.95 = 5,801.50/x
  3. Step 3: Cross multiply
    9,527.50x = 13,147.95 × 5,801.50
  4. Step 4: Simplify right side
    9,527.50x = 76,277,831.93
  5. Step 5: Solve for x
    x = 76,277,831.93/9,527.50
  6. Step 6: Final answer
    x = 8,006.07

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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.