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Finding the Fourth Proportional to 7,882.57, 11,802.99 and 4,758.40

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Solution

The fourth proportional to 7,882.57, 11,802.99 and 4,758.40 is: 7,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.57 : 11,802.99 = 4,758.40 : x
  2. Step 2: Convert to fraction form
    7,882.57/11,802.99 = 4,758.40/x
  3. Step 3: Cross multiply
    7,882.57x = 11,802.99 × 4,758.40
  4. Step 4: Simplify right side
    7,882.57x = 56,163,347.62
  5. Step 5: Solve for x
    x = 56,163,347.62/7,882.57
  6. Step 6: Final answer
    x = 7,125.00

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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.