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Finding the Fourth Proportional to 9,663.10, 14,498.70 and 7,219.14

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Solution

The fourth proportional to 9,663.10, 14,498.70 and 7,219.14 is: 10,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.10 : 14,498.70 = 7,219.14 : x
  2. Step 2: Convert to fraction form
    9,663.10/14,498.70 = 7,219.14/x
  3. Step 3: Cross multiply
    9,663.10x = 14,498.70 × 7,219.14
  4. Step 4: Simplify right side
    9,663.10x = 104,668,145.12
  5. Step 5: Solve for x
    x = 104,668,145.12/9,663.10
  6. Step 6: Final answer
    x = 10,831.74

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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.