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Finding the Fourth Proportional to 6,102.80, 9,154.76 and 1,720.25

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Solution

The fourth proportional to 6,102.80, 9,154.76 and 1,720.25 is: 2,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.80 : 9,154.76 = 1,720.25 : x
  2. Step 2: Convert to fraction form
    6,102.80/9,154.76 = 1,720.25/x
  3. Step 3: Cross multiply
    6,102.80x = 9,154.76 × 1,720.25
  4. Step 4: Simplify right side
    6,102.80x = 15,748,421.51
  5. Step 5: Solve for x
    x = 15,748,421.51/6,102.80
  6. Step 6: Final answer
    x = 2,580.53

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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.