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Finding the Fourth Proportional to 8,590.90, 11,846.07 and 7,461.86

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Solution

The fourth proportional to 8,590.90, 11,846.07 and 7,461.86 is: 10,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.90 : 11,846.07 = 7,461.86 : x
  2. Step 2: Convert to fraction form
    8,590.90/11,846.07 = 7,461.86/x
  3. Step 3: Cross multiply
    8,590.90x = 11,846.07 × 7,461.86
  4. Step 4: Simplify right side
    8,590.90x = 88,393,715.89
  5. Step 5: Solve for x
    x = 88,393,715.89/8,590.90
  6. Step 6: Final answer
    x = 10,289.23

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Double scale
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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.