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Finding the Fourth Proportional to 9,775.75, 14,663.62 and 3,931

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Solution

The fourth proportional to 9,775.75, 14,663.62 and 3,931 is: 5,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.75 : 14,663.62 = 3,931 : x
  2. Step 2: Convert to fraction form
    9,775.75/14,663.62 = 3,931/x
  3. Step 3: Cross multiply
    9,775.75x = 14,663.62 × 3,931
  4. Step 4: Simplify right side
    9,775.75x = 57,642,690.22
  5. Step 5: Solve for x
    x = 57,642,690.22/9,775.75
  6. Step 6: Final answer
    x = 5,896.50

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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.