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Finding the Fourth Proportional to 9,388.80, 14,083.20 and 7,852.80

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Solution

The fourth proportional to 9,388.80, 14,083.20 and 7,852.80 is: 11,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.80 : 14,083.20 = 7,852.80 : x
  2. Step 2: Convert to fraction form
    9,388.80/14,083.20 = 7,852.80/x
  3. Step 3: Cross multiply
    9,388.80x = 14,083.20 × 7,852.80
  4. Step 4: Simplify right side
    9,388.80x = 110,592,552.96
  5. Step 5: Solve for x
    x = 110,592,552.96/9,388.80
  6. Step 6: Final answer
    x = 11,779.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.