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Finding the Fourth Proportional to 8,820.54, 13,233.24 and 7,853.40

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Solution

The fourth proportional to 8,820.54, 13,233.24 and 7,853.40 is: 11,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.54 : 13,233.24 = 7,853.40 : x
  2. Step 2: Convert to fraction form
    8,820.54/13,233.24 = 7,853.40/x
  3. Step 3: Cross multiply
    8,820.54x = 13,233.24 × 7,853.40
  4. Step 4: Simplify right side
    8,820.54x = 103,925,927.02
  5. Step 5: Solve for x
    x = 103,925,927.02/8,820.54
  6. Step 6: Final answer
    x = 11,782.26

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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.