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Finding the Fourth Proportional to 7,095.48, 10,639.38 and 2,475

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Solution

The fourth proportional to 7,095.48, 10,639.38 and 2,475 is: 3,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.48 : 10,639.38 = 2,475 : x
  2. Step 2: Convert to fraction form
    7,095.48/10,639.38 = 2,475/x
  3. Step 3: Cross multiply
    7,095.48x = 10,639.38 × 2,475
  4. Step 4: Simplify right side
    7,095.48x = 26,332,465.50
  5. Step 5: Solve for x
    x = 26,332,465.50/7,095.48
  6. Step 6: Final answer
    x = 3,711.16

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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.