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Finding the Fourth Proportional to 9,468.42, 13,064.73 and 6,644.46

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Solution

The fourth proportional to 9,468.42, 13,064.73 and 6,644.46 is: 9,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.42 : 13,064.73 = 6,644.46 : x
  2. Step 2: Convert to fraction form
    9,468.42/13,064.73 = 6,644.46/x
  3. Step 3: Cross multiply
    9,468.42x = 13,064.73 × 6,644.46
  4. Step 4: Simplify right side
    9,468.42x = 86,808,075.90
  5. Step 5: Solve for x
    x = 86,808,075.90/9,468.42
  6. Step 6: Final answer
    x = 9,168.17

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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.