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Finding the Fourth Proportional to 6,907.53, 10,352.66 and 3,445.77

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Solution

The fourth proportional to 6,907.53, 10,352.66 and 3,445.77 is: 5,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.53 : 10,352.66 = 3,445.77 : x
  2. Step 2: Convert to fraction form
    6,907.53/10,352.66 = 3,445.77/x
  3. Step 3: Cross multiply
    6,907.53x = 10,352.66 × 3,445.77
  4. Step 4: Simplify right side
    6,907.53x = 35,672,868.02
  5. Step 5: Solve for x
    x = 35,672,868.02/6,907.53
  6. Step 6: Final answer
    x = 5,164.35

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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.