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Finding the Fourth Proportional to 6,335.10, 9,502.65 and 5,460.30

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Solution

The fourth proportional to 6,335.10, 9,502.65 and 5,460.30 is: 8,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.10 : 9,502.65 = 5,460.30 : x
  2. Step 2: Convert to fraction form
    6,335.10/9,502.65 = 5,460.30/x
  3. Step 3: Cross multiply
    6,335.10x = 9,502.65 × 5,460.30
  4. Step 4: Simplify right side
    6,335.10x = 51,887,319.80
  5. Step 5: Solve for x
    x = 51,887,319.80/6,335.10
  6. Step 6: Final answer
    x = 8,190.45

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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.