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Finding the Fourth Proportional to 9,767.47, 14,646.86 and 5,323.80

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Solution

The fourth proportional to 9,767.47, 14,646.86 and 5,323.80 is: 7,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.47 : 14,646.86 = 5,323.80 : x
  2. Step 2: Convert to fraction form
    9,767.47/14,646.86 = 5,323.80/x
  3. Step 3: Cross multiply
    9,767.47x = 14,646.86 × 5,323.80
  4. Step 4: Simplify right side
    9,767.47x = 77,976,880.03
  5. Step 5: Solve for x
    x = 77,976,880.03/9,767.47
  6. Step 6: Final answer
    x = 7,983.33

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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.