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Finding the Fourth Proportional to 9,762.84, 13,468.32 and 6,785.82

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Solution

The fourth proportional to 9,762.84, 13,468.32 and 6,785.82 is: 9,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.84 : 13,468.32 = 6,785.82 : x
  2. Step 2: Convert to fraction form
    9,762.84/13,468.32 = 6,785.82/x
  3. Step 3: Cross multiply
    9,762.84x = 13,468.32 × 6,785.82
  4. Step 4: Simplify right side
    9,762.84x = 91,393,595.22
  5. Step 5: Solve for x
    x = 91,393,595.22/9,762.84
  6. Step 6: Final answer
    x = 9,361.37

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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.