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Finding the Fourth Proportional to 7,095.97, 10,646.25 and 4,635.60

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Solution

The fourth proportional to 7,095.97, 10,646.25 and 4,635.60 is: 6,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.97 : 10,646.25 = 4,635.60 : x
  2. Step 2: Convert to fraction form
    7,095.97/10,646.25 = 4,635.60/x
  3. Step 3: Cross multiply
    7,095.97x = 10,646.25 × 4,635.60
  4. Step 4: Simplify right side
    7,095.97x = 49,351,756.50
  5. Step 5: Solve for x
    x = 49,351,756.50/7,095.97
  6. Step 6: Final answer
    x = 6,954.90

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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.