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Finding the Fourth Proportional to 6,308.01, 9,449.72 and 5,430.48

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Solution

The fourth proportional to 6,308.01, 9,449.72 and 5,430.48 is: 8,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.01 : 9,449.72 = 5,430.48 : x
  2. Step 2: Convert to fraction form
    6,308.01/9,449.72 = 5,430.48/x
  3. Step 3: Cross multiply
    6,308.01x = 9,449.72 × 5,430.48
  4. Step 4: Simplify right side
    6,308.01x = 51,316,470.59
  5. Step 5: Solve for x
    x = 51,316,470.59/6,308.01
  6. Step 6: Final answer
    x = 8,135.13

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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.