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Finding the Fourth Proportional to 8,383.86, 11,569.40 and 4,658.10

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Solution

The fourth proportional to 8,383.86, 11,569.40 and 4,658.10 is: 6,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.86 : 11,569.40 = 4,658.10 : x
  2. Step 2: Convert to fraction form
    8,383.86/11,569.40 = 4,658.10/x
  3. Step 3: Cross multiply
    8,383.86x = 11,569.40 × 4,658.10
  4. Step 4: Simplify right side
    8,383.86x = 53,891,422.14
  5. Step 5: Solve for x
    x = 53,891,422.14/8,383.86
  6. Step 6: Final answer
    x = 6,428.00

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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.