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Finding the Fourth Proportional to 8,435.01, 11,640.38 and 4,658.07

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Solution

The fourth proportional to 8,435.01, 11,640.38 and 4,658.07 is: 6,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.01 : 11,640.38 = 4,658.07 : x
  2. Step 2: Convert to fraction form
    8,435.01/11,640.38 = 4,658.07/x
  3. Step 3: Cross multiply
    8,435.01x = 11,640.38 × 4,658.07
  4. Step 4: Simplify right side
    8,435.01x = 54,221,681.58
  5. Step 5: Solve for x
    x = 54,221,681.58/8,435.01
  6. Step 6: Final answer
    x = 6,428.17

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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.