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Finding the Fourth Proportional to 10,594.84, 14,617.50 and 6,118

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Solution

The fourth proportional to 10,594.84, 14,617.50 and 6,118 is: 8,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.84 : 14,617.50 = 6,118 : x
  2. Step 2: Convert to fraction form
    10,594.84/14,617.50 = 6,118/x
  3. Step 3: Cross multiply
    10,594.84x = 14,617.50 × 6,118
  4. Step 4: Simplify right side
    10,594.84x = 89,429,865
  5. Step 5: Solve for x
    x = 89,429,865/10,594.84
  6. Step 6: Final answer
    x = 8,440.89

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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.