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Finding the Fourth Proportional to 4,764.93, 7,147.50 and 1,302.18

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Solution

The fourth proportional to 4,764.93, 7,147.50 and 1,302.18 is: 1,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.93 : 7,147.50 = 1,302.18 : x
  2. Step 2: Convert to fraction form
    4,764.93/7,147.50 = 1,302.18/x
  3. Step 3: Cross multiply
    4,764.93x = 7,147.50 × 1,302.18
  4. Step 4: Simplify right side
    4,764.93x = 9,307,331.55
  5. Step 5: Solve for x
    x = 9,307,331.55/4,764.93
  6. Step 6: Final answer
    x = 1,953.30

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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.