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Finding the Fourth Proportional to 9,029.48, 12,448.74 and 6,509.48

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Solution

The fourth proportional to 9,029.48, 12,448.74 and 6,509.48 is: 8,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.48 : 12,448.74 = 6,509.48 : x
  2. Step 2: Convert to fraction form
    9,029.48/12,448.74 = 6,509.48/x
  3. Step 3: Cross multiply
    9,029.48x = 12,448.74 × 6,509.48
  4. Step 4: Simplify right side
    9,029.48x = 81,034,824.06
  5. Step 5: Solve for x
    x = 81,034,824.06/9,029.48
  6. Step 6: Final answer
    x = 8,974.47

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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.