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Finding the Fourth Proportional to 7,851.67, 11,726.40 and 7,035.19

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Solution

The fourth proportional to 7,851.67, 11,726.40 and 7,035.19 is: 10,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.67 : 11,726.40 = 7,035.19 : x
  2. Step 2: Convert to fraction form
    7,851.67/11,726.40 = 7,035.19/x
  3. Step 3: Cross multiply
    7,851.67x = 11,726.40 × 7,035.19
  4. Step 4: Simplify right side
    7,851.67x = 82,497,452.02
  5. Step 5: Solve for x
    x = 82,497,452.02/7,851.67
  6. Step 6: Final answer
    x = 10,506.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.