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Finding the Fourth Proportional to 12,097.22, 16,699.77 and 8,070.74

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Solution

The fourth proportional to 12,097.22, 16,699.77 and 8,070.74 is: 11,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.22 : 16,699.77 = 8,070.74 : x
  2. Step 2: Convert to fraction form
    12,097.22/16,699.77 = 8,070.74/x
  3. Step 3: Cross multiply
    12,097.22x = 16,699.77 × 8,070.74
  4. Step 4: Simplify right side
    12,097.22x = 134,779,418.23
  5. Step 5: Solve for x
    x = 134,779,418.23/12,097.22
  6. Step 6: Final answer
    x = 11,141.36

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Half scale
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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.