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Finding the Fourth Proportional to 9,601.63, 13,251.95 and 7,627.26

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Solution

The fourth proportional to 9,601.63, 13,251.95 and 7,627.26 is: 10,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.63 : 13,251.95 = 7,627.26 : x
  2. Step 2: Convert to fraction form
    9,601.63/13,251.95 = 7,627.26/x
  3. Step 3: Cross multiply
    9,601.63x = 13,251.95 × 7,627.26
  4. Step 4: Simplify right side
    9,601.63x = 101,076,068.16
  5. Step 5: Solve for x
    x = 101,076,068.16/9,601.63
  6. Step 6: Final answer
    x = 10,526.97

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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.