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Finding the Fourth Proportional to 6,859.76, 10,281.54 and 3,735.32

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Solution

The fourth proportional to 6,859.76, 10,281.54 and 3,735.32 is: 5,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.76 : 10,281.54 = 3,735.32 : x
  2. Step 2: Convert to fraction form
    6,859.76/10,281.54 = 3,735.32/x
  3. Step 3: Cross multiply
    6,859.76x = 10,281.54 × 3,735.32
  4. Step 4: Simplify right side
    6,859.76x = 38,404,841.99
  5. Step 5: Solve for x
    x = 38,404,841.99/6,859.76
  6. Step 6: Final answer
    x = 5,598.57

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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.