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Finding the Fourth Proportional to 7,907.50, 10,912.35 and 4,764.34

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Solution

The fourth proportional to 7,907.50, 10,912.35 and 4,764.34 is: 6,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.50 : 10,912.35 = 4,764.34 : x
  2. Step 2: Convert to fraction form
    7,907.50/10,912.35 = 4,764.34/x
  3. Step 3: Cross multiply
    7,907.50x = 10,912.35 × 4,764.34
  4. Step 4: Simplify right side
    7,907.50x = 51,990,145.60
  5. Step 5: Solve for x
    x = 51,990,145.60/7,907.50
  6. Step 6: Final answer
    x = 6,574.79

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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.