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Finding the Fourth Proportional to 9,843.12, 14,775.60 and 4,003.80

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Solution

The fourth proportional to 9,843.12, 14,775.60 and 4,003.80 is: 6,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.12 : 14,775.60 = 4,003.80 : x
  2. Step 2: Convert to fraction form
    9,843.12/14,775.60 = 4,003.80/x
  3. Step 3: Cross multiply
    9,843.12x = 14,775.60 × 4,003.80
  4. Step 4: Simplify right side
    9,843.12x = 59,158,547.28
  5. Step 5: Solve for x
    x = 59,158,547.28/9,843.12
  6. Step 6: Final answer
    x = 6,010.14

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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.