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Finding the Fourth Proportional to 9,462.52, 13,055.97 and 6,232.01

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Solution

The fourth proportional to 9,462.52, 13,055.97 and 6,232.01 is: 8,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.52 : 13,055.97 = 6,232.01 : x
  2. Step 2: Convert to fraction form
    9,462.52/13,055.97 = 6,232.01/x
  3. Step 3: Cross multiply
    9,462.52x = 13,055.97 × 6,232.01
  4. Step 4: Simplify right side
    9,462.52x = 81,364,935.60
  5. Step 5: Solve for x
    x = 81,364,935.60/9,462.52
  6. Step 6: Final answer
    x = 8,598.65

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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.