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Finding the Fourth Proportional to 7,685.52, 11,525.40 and 2,490

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Solution

The fourth proportional to 7,685.52, 11,525.40 and 2,490 is: 3,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.52 : 11,525.40 = 2,490 : x
  2. Step 2: Convert to fraction form
    7,685.52/11,525.40 = 2,490/x
  3. Step 3: Cross multiply
    7,685.52x = 11,525.40 × 2,490
  4. Step 4: Simplify right side
    7,685.52x = 28,698,246
  5. Step 5: Solve for x
    x = 28,698,246/7,685.52
  6. Step 6: Final answer
    x = 3,734.07

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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.