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Finding the Fourth Proportional to 6,102.61, 9,154.53 and 1,720.11

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Solution

The fourth proportional to 6,102.61, 9,154.53 and 1,720.11 is: 2,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.61 : 9,154.53 = 1,720.11 : x
  2. Step 2: Convert to fraction form
    6,102.61/9,154.53 = 1,720.11/x
  3. Step 3: Cross multiply
    6,102.61x = 9,154.53 × 1,720.11
  4. Step 4: Simplify right side
    6,102.61x = 15,746,798.60
  5. Step 5: Solve for x
    x = 15,746,798.60/6,102.61
  6. Step 6: Final answer
    x = 2,580.34

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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.