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Finding the Fourth Proportional to 11,788.80, 16,263.09 and 7,064.88

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Solution

The fourth proportional to 11,788.80, 16,263.09 and 7,064.88 is: 9,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.80 : 16,263.09 = 7,064.88 : x
  2. Step 2: Convert to fraction form
    11,788.80/16,263.09 = 7,064.88/x
  3. Step 3: Cross multiply
    11,788.80x = 16,263.09 × 7,064.88
  4. Step 4: Simplify right side
    11,788.80x = 114,896,779.28
  5. Step 5: Solve for x
    x = 114,896,779.28/11,788.80
  6. Step 6: Final answer
    x = 9,746.27

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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.