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Finding the Fourth Proportional to 4,984.08, 7,466.16 and 4,575.84

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Solution

The fourth proportional to 4,984.08, 7,466.16 and 4,575.84 is: 6,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.08 : 7,466.16 = 4,575.84 : x
  2. Step 2: Convert to fraction form
    4,984.08/7,466.16 = 4,575.84/x
  3. Step 3: Cross multiply
    4,984.08x = 7,466.16 × 4,575.84
  4. Step 4: Simplify right side
    4,984.08x = 34,163,953.57
  5. Step 5: Solve for x
    x = 34,163,953.57/4,984.08
  6. Step 6: Final answer
    x = 6,854.62

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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.