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Finding the Fourth Proportional to 10,600.52, 14,636.04 and 6,623.60

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Solution

The fourth proportional to 10,600.52, 14,636.04 and 6,623.60 is: 9,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.52 : 14,636.04 = 6,623.60 : x
  2. Step 2: Convert to fraction form
    10,600.52/14,636.04 = 6,623.60/x
  3. Step 3: Cross multiply
    10,600.52x = 14,636.04 × 6,623.60
  4. Step 4: Simplify right side
    10,600.52x = 96,943,274.54
  5. Step 5: Solve for x
    x = 96,943,274.54/10,600.52
  6. Step 6: Final answer
    x = 9,145.14

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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.