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Finding the Fourth Proportional to 7,025.34, 10,538.01 and 4,827.42

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Solution

The fourth proportional to 7,025.34, 10,538.01 and 4,827.42 is: 7,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.34 : 10,538.01 = 4,827.42 : x
  2. Step 2: Convert to fraction form
    7,025.34/10,538.01 = 4,827.42/x
  3. Step 3: Cross multiply
    7,025.34x = 10,538.01 × 4,827.42
  4. Step 4: Simplify right side
    7,025.34x = 50,871,400.23
  5. Step 5: Solve for x
    x = 50,871,400.23/7,025.34
  6. Step 6: Final answer
    x = 7,241.13

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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.