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Finding the Fourth Proportional to 9,831.95, 14,718.96 and 6,494.08

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Solution

The fourth proportional to 9,831.95, 14,718.96 and 6,494.08 is: 9,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.95 : 14,718.96 = 6,494.08 : x
  2. Step 2: Convert to fraction form
    9,831.95/14,718.96 = 6,494.08/x
  3. Step 3: Cross multiply
    9,831.95x = 14,718.96 × 6,494.08
  4. Step 4: Simplify right side
    9,831.95x = 95,586,103.76
  5. Step 5: Solve for x
    x = 95,586,103.76/9,831.95
  6. Step 6: Final answer
    x = 9,721.99

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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.