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Finding the Fourth Proportional to 7,862.16, 11,795.94 and 5,094.12

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Solution

The fourth proportional to 7,862.16, 11,795.94 and 5,094.12 is: 7,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.16 : 11,795.94 = 5,094.12 : x
  2. Step 2: Convert to fraction form
    7,862.16/11,795.94 = 5,094.12/x
  3. Step 3: Cross multiply
    7,862.16x = 11,795.94 × 5,094.12
  4. Step 4: Simplify right side
    7,862.16x = 60,089,933.87
  5. Step 5: Solve for x
    x = 60,089,933.87/7,862.16
  6. Step 6: Final answer
    x = 7,642.93

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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.