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Finding the Fourth Proportional to 7,658.93, 10,569.05 and 4,679.75

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Solution

The fourth proportional to 7,658.93, 10,569.05 and 4,679.75 is: 6,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.93 : 10,569.05 = 4,679.75 : x
  2. Step 2: Convert to fraction form
    7,658.93/10,569.05 = 4,679.75/x
  3. Step 3: Cross multiply
    7,658.93x = 10,569.05 × 4,679.75
  4. Step 4: Simplify right side
    7,658.93x = 49,460,549.86
  5. Step 5: Solve for x
    x = 49,460,549.86/7,658.93
  6. Step 6: Final answer
    x = 6,457.89

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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.