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Finding the Fourth Proportional to 6,586.65, 9,795.22 and 6,378.98

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Solution

The fourth proportional to 6,586.65, 9,795.22 and 6,378.98 is: 9,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.65 : 9,795.22 = 6,378.98 : x
  2. Step 2: Convert to fraction form
    6,586.65/9,795.22 = 6,378.98/x
  3. Step 3: Cross multiply
    6,586.65x = 9,795.22 × 6,378.98
  4. Step 4: Simplify right side
    6,586.65x = 62,483,447.55
  5. Step 5: Solve for x
    x = 62,483,447.55/6,586.65
  6. Step 6: Final answer
    x = 9,486.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.