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Finding the Fourth Proportional to 10,606.98, 14,638.11 and 6,358.74

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Solution

The fourth proportional to 10,606.98, 14,638.11 and 6,358.74 is: 8,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.98 : 14,638.11 = 6,358.74 : x
  2. Step 2: Convert to fraction form
    10,606.98/14,638.11 = 6,358.74/x
  3. Step 3: Cross multiply
    10,606.98x = 14,638.11 × 6,358.74
  4. Step 4: Simplify right side
    10,606.98x = 93,079,935.58
  5. Step 5: Solve for x
    x = 93,079,935.58/10,606.98
  6. Step 6: Final answer
    x = 8,775.35

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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.