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Finding the Fourth Proportional to 7,258.02, 9,950.84 and 7,126.80

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Solution

The fourth proportional to 7,258.02, 9,950.84 and 7,126.80 is: 9,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.02 : 9,950.84 = 7,126.80 : x
  2. Step 2: Convert to fraction form
    7,258.02/9,950.84 = 7,126.80/x
  3. Step 3: Cross multiply
    7,258.02x = 9,950.84 × 7,126.80
  4. Step 4: Simplify right side
    7,258.02x = 70,917,646.51
  5. Step 5: Solve for x
    x = 70,917,646.51/7,258.02
  6. Step 6: Final answer
    x = 9,770.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.