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Finding the Fourth Proportional to 7,807.26, 10,775.22 and 4,975.86

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Solution

The fourth proportional to 7,807.26, 10,775.22 and 4,975.86 is: 6,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.26 : 10,775.22 = 4,975.86 : x
  2. Step 2: Convert to fraction form
    7,807.26/10,775.22 = 4,975.86/x
  3. Step 3: Cross multiply
    7,807.26x = 10,775.22 × 4,975.86
  4. Step 4: Simplify right side
    7,807.26x = 53,615,986.19
  5. Step 5: Solve for x
    x = 53,615,986.19/7,807.26
  6. Step 6: Final answer
    x = 6,867.45

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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.