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Finding the Fourth Proportional to 9,613.40, 14,420.10 and 3,040.10

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Solution

The fourth proportional to 9,613.40, 14,420.10 and 3,040.10 is: 4,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.40 : 14,420.10 = 3,040.10 : x
  2. Step 2: Convert to fraction form
    9,613.40/14,420.10 = 3,040.10/x
  3. Step 3: Cross multiply
    9,613.40x = 14,420.10 × 3,040.10
  4. Step 4: Simplify right side
    9,613.40x = 43,838,546.01
  5. Step 5: Solve for x
    x = 43,838,546.01/9,613.40
  6. Step 6: Final answer
    x = 4,560.15

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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.