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Finding the Fourth Proportional to 7,854.84, 11,782.72 and 2,924.08

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Solution

The fourth proportional to 7,854.84, 11,782.72 and 2,924.08 is: 4,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.84 : 11,782.72 = 2,924.08 : x
  2. Step 2: Convert to fraction form
    7,854.84/11,782.72 = 2,924.08/x
  3. Step 3: Cross multiply
    7,854.84x = 11,782.72 × 2,924.08
  4. Step 4: Simplify right side
    7,854.84x = 34,453,615.90
  5. Step 5: Solve for x
    x = 34,453,615.90/7,854.84
  6. Step 6: Final answer
    x = 4,386.29

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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.