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Finding the Fourth Proportional to 6,903.17, 10,360.97 and 6,460.30

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Solution

The fourth proportional to 6,903.17, 10,360.97 and 6,460.30 is: 9,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.17 : 10,360.97 = 6,460.30 : x
  2. Step 2: Convert to fraction form
    6,903.17/10,360.97 = 6,460.30/x
  3. Step 3: Cross multiply
    6,903.17x = 10,360.97 × 6,460.30
  4. Step 4: Simplify right side
    6,903.17x = 66,934,964.74
  5. Step 5: Solve for x
    x = 66,934,964.74/6,903.17
  6. Step 6: Final answer
    x = 9,696.27

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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.