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Finding the Fourth Proportional to 10,661.60, 15,999.60 and 6,274.40

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Solution

The fourth proportional to 10,661.60, 15,999.60 and 6,274.40 is: 9,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.60 : 15,999.60 = 6,274.40 : x
  2. Step 2: Convert to fraction form
    10,661.60/15,999.60 = 6,274.40/x
  3. Step 3: Cross multiply
    10,661.60x = 15,999.60 × 6,274.40
  4. Step 4: Simplify right side
    10,661.60x = 100,387,890.24
  5. Step 5: Solve for x
    x = 100,387,890.24/10,661.60
  6. Step 6: Final answer
    x = 9,415.84

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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.