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Finding the Fourth Proportional to 9,661.70, 14,497.95 and 4,114.10

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Solution

The fourth proportional to 9,661.70, 14,497.95 and 4,114.10 is: 6,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.70 : 14,497.95 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    9,661.70/14,497.95 = 4,114.10/x
  3. Step 3: Cross multiply
    9,661.70x = 14,497.95 × 4,114.10
  4. Step 4: Simplify right side
    9,661.70x = 59,646,016.10
  5. Step 5: Solve for x
    x = 59,646,016.10/9,661.70
  6. Step 6: Final answer
    x = 6,173.45

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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.