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Finding the Fourth Proportional to 9,837.95, 14,760.96 and 7,218.81

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Solution

The fourth proportional to 9,837.95, 14,760.96 and 7,218.81 is: 10,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.95 : 14,760.96 = 7,218.81 : x
  2. Step 2: Convert to fraction form
    9,837.95/14,760.96 = 7,218.81/x
  3. Step 3: Cross multiply
    9,837.95x = 14,760.96 × 7,218.81
  4. Step 4: Simplify right side
    9,837.95x = 106,556,565.66
  5. Step 5: Solve for x
    x = 106,556,565.66/9,837.95
  6. Step 6: Final answer
    x = 10,831.18

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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.