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Finding the Fourth Proportional to 6,954.47, 10,421.95 and 3,835.93

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Solution

The fourth proportional to 6,954.47, 10,421.95 and 3,835.93 is: 5,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.47 : 10,421.95 = 3,835.93 : x
  2. Step 2: Convert to fraction form
    6,954.47/10,421.95 = 3,835.93/x
  3. Step 3: Cross multiply
    6,954.47x = 10,421.95 × 3,835.93
  4. Step 4: Simplify right side
    6,954.47x = 39,977,870.66
  5. Step 5: Solve for x
    x = 39,977,870.66/6,954.47
  6. Step 6: Final answer
    x = 5,748.51

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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.