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Finding the Fourth Proportional to 5,661.30, 7,820.07 and 4,720.17

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Solution

The fourth proportional to 5,661.30, 7,820.07 and 4,720.17 is: 6,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.30 : 7,820.07 = 4,720.17 : x
  2. Step 2: Convert to fraction form
    5,661.30/7,820.07 = 4,720.17/x
  3. Step 3: Cross multiply
    5,661.30x = 7,820.07 × 4,720.17
  4. Step 4: Simplify right side
    5,661.30x = 36,912,059.81
  5. Step 5: Solve for x
    x = 36,912,059.81/5,661.30
  6. Step 6: Final answer
    x = 6,520.07

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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.