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Finding the Fourth Proportional to 7,855.04, 11,782.56 and 2,924.58

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Solution

The fourth proportional to 7,855.04, 11,782.56 and 2,924.58 is: 4,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.04 : 11,782.56 = 2,924.58 : x
  2. Step 2: Convert to fraction form
    7,855.04/11,782.56 = 2,924.58/x
  3. Step 3: Cross multiply
    7,855.04x = 11,782.56 × 2,924.58
  4. Step 4: Simplify right side
    7,855.04x = 34,459,039.32
  5. Step 5: Solve for x
    x = 34,459,039.32/7,855.04
  6. Step 6: Final answer
    x = 4,386.87

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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.