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Finding the Fourth Proportional to 4,903.61, 7,352.64 and 1,615.82

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Solution

The fourth proportional to 4,903.61, 7,352.64 and 1,615.82 is: 2,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.61 : 7,352.64 = 1,615.82 : x
  2. Step 2: Convert to fraction form
    4,903.61/7,352.64 = 1,615.82/x
  3. Step 3: Cross multiply
    4,903.61x = 7,352.64 × 1,615.82
  4. Step 4: Simplify right side
    4,903.61x = 11,880,506.00
  5. Step 5: Solve for x
    x = 11,880,506.00/4,903.61
  6. Step 6: Final answer
    x = 2,422.81

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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.