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Finding the Fourth Proportional to 10,609.90, 14,641.93 and 5,829.96

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Solution

The fourth proportional to 10,609.90, 14,641.93 and 5,829.96 is: 8,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.90 : 14,641.93 = 5,829.96 : x
  2. Step 2: Convert to fraction form
    10,609.90/14,641.93 = 5,829.96/x
  3. Step 3: Cross multiply
    10,609.90x = 14,641.93 × 5,829.96
  4. Step 4: Simplify right side
    10,609.90x = 85,361,866.22
  5. Step 5: Solve for x
    x = 85,361,866.22/10,609.90
  6. Step 6: Final answer
    x = 8,045.49

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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.