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Finding the Fourth Proportional to 6,165.51, 9,248.33 and 1,783

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Solution

The fourth proportional to 6,165.51, 9,248.33 and 1,783 is: 2,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.51 : 9,248.33 = 1,783 : x
  2. Step 2: Convert to fraction form
    6,165.51/9,248.33 = 1,783/x
  3. Step 3: Cross multiply
    6,165.51x = 9,248.33 × 1,783
  4. Step 4: Simplify right side
    6,165.51x = 16,489,772.39
  5. Step 5: Solve for x
    x = 16,489,772.39/6,165.51
  6. Step 6: Final answer
    x = 2,674.52

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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.