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Finding the Fourth Proportional to 7,114.51, 10,685.59 and 5,799.22

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Solution

The fourth proportional to 7,114.51, 10,685.59 and 5,799.22 is: 8,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.51 : 10,685.59 = 5,799.22 : x
  2. Step 2: Convert to fraction form
    7,114.51/10,685.59 = 5,799.22/x
  3. Step 3: Cross multiply
    7,114.51x = 10,685.59 × 5,799.22
  4. Step 4: Simplify right side
    7,114.51x = 61,968,087.24
  5. Step 5: Solve for x
    x = 61,968,087.24/7,114.51
  6. Step 6: Final answer
    x = 8,710.11

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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.