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Finding the Fourth Proportional to 7,289.01, 10,058.90 and 4,102.20

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Solution

The fourth proportional to 7,289.01, 10,058.90 and 4,102.20 is: 5,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.01 : 10,058.90 = 4,102.20 : x
  2. Step 2: Convert to fraction form
    7,289.01/10,058.90 = 4,102.20/x
  3. Step 3: Cross multiply
    7,289.01x = 10,058.90 × 4,102.20
  4. Step 4: Simplify right side
    7,289.01x = 41,263,599.07
  5. Step 5: Solve for x
    x = 41,263,599.07/7,289.01
  6. Step 6: Final answer
    x = 5,661.07

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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.