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Finding the Fourth Proportional to 7,975.47, 10,996.74 and 5,458.80

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Solution

The fourth proportional to 7,975.47, 10,996.74 and 5,458.80 is: 7,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.47 : 10,996.74 = 5,458.80 : x
  2. Step 2: Convert to fraction form
    7,975.47/10,996.74 = 5,458.80/x
  3. Step 3: Cross multiply
    7,975.47x = 10,996.74 × 5,458.80
  4. Step 4: Simplify right side
    7,975.47x = 60,029,004.31
  5. Step 5: Solve for x
    x = 60,029,004.31/7,975.47
  6. Step 6: Final answer
    x = 7,526.70

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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.