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Finding the Fourth Proportional to 7,274.56, 10,038.96 and 3,962.56

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Solution

The fourth proportional to 7,274.56, 10,038.96 and 3,962.56 is: 5,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.56 : 10,038.96 = 3,962.56 : x
  2. Step 2: Convert to fraction form
    7,274.56/10,038.96 = 3,962.56/x
  3. Step 3: Cross multiply
    7,274.56x = 10,038.96 × 3,962.56
  4. Step 4: Simplify right side
    7,274.56x = 39,779,981.34
  5. Step 5: Solve for x
    x = 39,779,981.34/7,274.56
  6. Step 6: Final answer
    x = 5,468.37

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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.