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Finding the Fourth Proportional to 7,852.32, 11,780.21 and 4,347.43

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Solution

The fourth proportional to 7,852.32, 11,780.21 and 4,347.43 is: 6,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.32 : 11,780.21 = 4,347.43 : x
  2. Step 2: Convert to fraction form
    7,852.32/11,780.21 = 4,347.43/x
  3. Step 3: Cross multiply
    7,852.32x = 11,780.21 × 4,347.43
  4. Step 4: Simplify right side
    7,852.32x = 51,213,638.36
  5. Step 5: Solve for x
    x = 51,213,638.36/7,852.32
  6. Step 6: Final answer
    x = 6,522.10

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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.