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Finding the Fourth Proportional to 11,779.73, 16,258.84 and 6,746.86

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Solution

The fourth proportional to 11,779.73, 16,258.84 and 6,746.86 is: 9,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.73 : 16,258.84 = 6,746.86 : x
  2. Step 2: Convert to fraction form
    11,779.73/16,258.84 = 6,746.86/x
  3. Step 3: Cross multiply
    11,779.73x = 16,258.84 × 6,746.86
  4. Step 4: Simplify right side
    11,779.73x = 109,696,059.73
  5. Step 5: Solve for x
    x = 109,696,059.73/11,779.73
  6. Step 6: Final answer
    x = 9,312.28

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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.