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Finding the Fourth Proportional to 9,299, 12,832.64 and 5,050.07

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Solution

The fourth proportional to 9,299, 12,832.64 and 5,050.07 is: 6,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299 : 12,832.64 = 5,050.07 : x
  2. Step 2: Convert to fraction form
    9,299/12,832.64 = 5,050.07/x
  3. Step 3: Cross multiply
    9,299x = 12,832.64 × 5,050.07
  4. Step 4: Simplify right side
    9,299x = 64,805,730.28
  5. Step 5: Solve for x
    x = 64,805,730.28/9,299
  6. Step 6: Final answer
    x = 6,969.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.