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Finding the Fourth Proportional to 6,434.40, 9,661.20 and 4,975.20

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Solution

The fourth proportional to 6,434.40, 9,661.20 and 4,975.20 is: 7,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.40 : 9,661.20 = 4,975.20 : x
  2. Step 2: Convert to fraction form
    6,434.40/9,661.20 = 4,975.20/x
  3. Step 3: Cross multiply
    6,434.40x = 9,661.20 × 4,975.20
  4. Step 4: Simplify right side
    6,434.40x = 48,066,402.24
  5. Step 5: Solve for x
    x = 48,066,402.24/6,434.40
  6. Step 6: Final answer
    x = 7,470.22

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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.