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Finding the Fourth Proportional to 6,513.10, 9,784.05 and 6,340.30

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Solution

The fourth proportional to 6,513.10, 9,784.05 and 6,340.30 is: 9,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.10 : 9,784.05 = 6,340.30 : x
  2. Step 2: Convert to fraction form
    6,513.10/9,784.05 = 6,340.30/x
  3. Step 3: Cross multiply
    6,513.10x = 9,784.05 × 6,340.30
  4. Step 4: Simplify right side
    6,513.10x = 62,033,812.22
  5. Step 5: Solve for x
    x = 62,033,812.22/6,513.10
  6. Step 6: Final answer
    x = 9,524.47

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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.