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Finding the Fourth Proportional to 6,460.61, 9,734.88 and 5,316.28

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Solution

The fourth proportional to 6,460.61, 9,734.88 and 5,316.28 is: 8,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.61 : 9,734.88 = 5,316.28 : x
  2. Step 2: Convert to fraction form
    6,460.61/9,734.88 = 5,316.28/x
  3. Step 3: Cross multiply
    6,460.61x = 9,734.88 × 5,316.28
  4. Step 4: Simplify right side
    6,460.61x = 51,753,298.59
  5. Step 5: Solve for x
    x = 51,753,298.59/6,460.61
  6. Step 6: Final answer
    x = 8,010.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.