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Finding the Fourth Proportional to 9,239.63, 12,746.12 and 6,551.42

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Solution

The fourth proportional to 9,239.63, 12,746.12 and 6,551.42 is: 9,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.63 : 12,746.12 = 6,551.42 : x
  2. Step 2: Convert to fraction form
    9,239.63/12,746.12 = 6,551.42/x
  3. Step 3: Cross multiply
    9,239.63x = 12,746.12 × 6,551.42
  4. Step 4: Simplify right side
    9,239.63x = 83,505,089.00
  5. Step 5: Solve for x
    x = 83,505,089.00/9,239.63
  6. Step 6: Final answer
    x = 9,037.71

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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.