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Finding the Fourth Proportional to 7,225.74, 9,973.17 and 4,576.77

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Solution

The fourth proportional to 7,225.74, 9,973.17 and 4,576.77 is: 6,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.74 : 9,973.17 = 4,576.77 : x
  2. Step 2: Convert to fraction form
    7,225.74/9,973.17 = 4,576.77/x
  3. Step 3: Cross multiply
    7,225.74x = 9,973.17 × 4,576.77
  4. Step 4: Simplify right side
    7,225.74x = 45,644,905.26
  5. Step 5: Solve for x
    x = 45,644,905.26/7,225.74
  6. Step 6: Final answer
    x = 6,316.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.