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Finding the Fourth Proportional to 7,851.63, 10,835.07 and 4,314.77

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Solution

The fourth proportional to 7,851.63, 10,835.07 and 4,314.77 is: 5,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.63 : 10,835.07 = 4,314.77 : x
  2. Step 2: Convert to fraction form
    7,851.63/10,835.07 = 4,314.77/x
  3. Step 3: Cross multiply
    7,851.63x = 10,835.07 × 4,314.77
  4. Step 4: Simplify right side
    7,851.63x = 46,750,805.26
  5. Step 5: Solve for x
    x = 46,750,805.26/7,851.63
  6. Step 6: Final answer
    x = 5,954.28

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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.