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Finding the Fourth Proportional to 7,685.93, 10,603.73 and 5,034.80

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Solution

The fourth proportional to 7,685.93, 10,603.73 and 5,034.80 is: 6,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.93 : 10,603.73 = 5,034.80 : x
  2. Step 2: Convert to fraction form
    7,685.93/10,603.73 = 5,034.80/x
  3. Step 3: Cross multiply
    7,685.93x = 10,603.73 × 5,034.80
  4. Step 4: Simplify right side
    7,685.93x = 53,387,698.90
  5. Step 5: Solve for x
    x = 53,387,698.90/7,685.93
  6. Step 6: Final answer
    x = 6,946.16

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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.