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Finding the Fourth Proportional to 4,766.54, 7,148.29 and 4,455.58

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Solution

The fourth proportional to 4,766.54, 7,148.29 and 4,455.58 is: 6,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.54 : 7,148.29 = 4,455.58 : x
  2. Step 2: Convert to fraction form
    4,766.54/7,148.29 = 4,455.58/x
  3. Step 3: Cross multiply
    4,766.54x = 7,148.29 × 4,455.58
  4. Step 4: Simplify right side
    4,766.54x = 31,849,777.96
  5. Step 5: Solve for x
    x = 31,849,777.96/4,766.54
  6. Step 6: Final answer
    x = 6,681.95

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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.