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Finding the Fourth Proportional to 10,705.84, 14,779.11 and 8,054.26

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Solution

The fourth proportional to 10,705.84, 14,779.11 and 8,054.26 is: 11,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.84 : 14,779.11 = 8,054.26 : x
  2. Step 2: Convert to fraction form
    10,705.84/14,779.11 = 8,054.26/x
  3. Step 3: Cross multiply
    10,705.84x = 14,779.11 × 8,054.26
  4. Step 4: Simplify right side
    10,705.84x = 119,034,794.51
  5. Step 5: Solve for x
    x = 119,034,794.51/10,705.84
  6. Step 6: Final answer
    x = 11,118.68

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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.