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Finding the Fourth Proportional to 7,851.53, 10,835.10 and 4,314.80

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Solution

The fourth proportional to 7,851.53, 10,835.10 and 4,314.80 is: 5,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.53 : 10,835.10 = 4,314.80 : x
  2. Step 2: Convert to fraction form
    7,851.53/10,835.10 = 4,314.80/x
  3. Step 3: Cross multiply
    7,851.53x = 10,835.10 × 4,314.80
  4. Step 4: Simplify right side
    7,851.53x = 46,751,316.57
  5. Step 5: Solve for x
    x = 46,751,316.57/7,851.53
  6. Step 6: Final answer
    x = 5,954.42

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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.