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Finding the Fourth Proportional to 10,590.40, 14,615.04 and 5,874.40

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Solution

The fourth proportional to 10,590.40, 14,615.04 and 5,874.40 is: 8,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.40 : 14,615.04 = 5,874.40 : x
  2. Step 2: Convert to fraction form
    10,590.40/14,615.04 = 5,874.40/x
  3. Step 3: Cross multiply
    10,590.40x = 14,615.04 × 5,874.40
  4. Step 4: Simplify right side
    10,590.40x = 85,854,590.98
  5. Step 5: Solve for x
    x = 85,854,590.98/10,590.40
  6. Step 6: Final answer
    x = 8,106.83

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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.