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Finding the Fourth Proportional to 6,895.26, 9,510.25 and 4,774.34

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Solution

The fourth proportional to 6,895.26, 9,510.25 and 4,774.34 is: 6,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.26 : 9,510.25 = 4,774.34 : x
  2. Step 2: Convert to fraction form
    6,895.26/9,510.25 = 4,774.34/x
  3. Step 3: Cross multiply
    6,895.26x = 9,510.25 × 4,774.34
  4. Step 4: Simplify right side
    6,895.26x = 45,405,166.99
  5. Step 5: Solve for x
    x = 45,405,166.99/6,895.26
  6. Step 6: Final answer
    x = 6,584.98

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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.