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Finding the Fourth Proportional to 10,003.70, 15,005.55 and 3,078.20

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Solution

The fourth proportional to 10,003.70, 15,005.55 and 3,078.20 is: 4,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.70 : 15,005.55 = 3,078.20 : x
  2. Step 2: Convert to fraction form
    10,003.70/15,005.55 = 3,078.20/x
  3. Step 3: Cross multiply
    10,003.70x = 15,005.55 × 3,078.20
  4. Step 4: Simplify right side
    10,003.70x = 46,190,084.01
  5. Step 5: Solve for x
    x = 46,190,084.01/10,003.70
  6. Step 6: Final answer
    x = 4,617.30

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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.