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Finding the Fourth Proportional to 7,095, 10,642.55 and 2,478

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Solution

The fourth proportional to 7,095, 10,642.55 and 2,478 is: 3,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095 : 10,642.55 = 2,478 : x
  2. Step 2: Convert to fraction form
    7,095/10,642.55 = 2,478/x
  3. Step 3: Cross multiply
    7,095x = 10,642.55 × 2,478
  4. Step 4: Simplify right side
    7,095x = 26,372,226.51
  5. Step 5: Solve for x
    x = 26,372,226.51/7,095
  6. Step 6: Final answer
    x = 3,717.02

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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.