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Finding the Fourth Proportional to 9,533.52, 14,284.44 and 6,746.36

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Solution

The fourth proportional to 9,533.52, 14,284.44 and 6,746.36 is: 10,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.52 : 14,284.44 = 6,746.36 : x
  2. Step 2: Convert to fraction form
    9,533.52/14,284.44 = 6,746.36/x
  3. Step 3: Cross multiply
    9,533.52x = 14,284.44 × 6,746.36
  4. Step 4: Simplify right side
    9,533.52x = 96,367,974.64
  5. Step 5: Solve for x
    x = 96,367,974.64/9,533.52
  6. Step 6: Final answer
    x = 10,108.33

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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.