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Finding the Fourth Proportional to 7,885.04, 11,830.44 and 4,809.20

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Solution

The fourth proportional to 7,885.04, 11,830.44 and 4,809.20 is: 7,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.04 : 11,830.44 = 4,809.20 : x
  2. Step 2: Convert to fraction form
    7,885.04/11,830.44 = 4,809.20/x
  3. Step 3: Cross multiply
    7,885.04x = 11,830.44 × 4,809.20
  4. Step 4: Simplify right side
    7,885.04x = 56,894,952.05
  5. Step 5: Solve for x
    x = 56,894,952.05/7,885.04
  6. Step 6: Final answer
    x = 7,215.56

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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.