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Finding the Fourth Proportional to 10,006.67, 13,798.82 and 8,595

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Solution

The fourth proportional to 10,006.67, 13,798.82 and 8,595 is: 11,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.67 : 13,798.82 = 8,595 : x
  2. Step 2: Convert to fraction form
    10,006.67/13,798.82 = 8,595/x
  3. Step 3: Cross multiply
    10,006.67x = 13,798.82 × 8,595
  4. Step 4: Simplify right side
    10,006.67x = 118,600,879.39
  5. Step 5: Solve for x
    x = 118,600,879.39/10,006.67
  6. Step 6: Final answer
    x = 11,852.18

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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.