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Finding the Fourth Proportional to 11,831.94, 16,328.14 and 6,526.76

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Solution

The fourth proportional to 11,831.94, 16,328.14 and 6,526.76 is: 9,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.94 : 16,328.14 = 6,526.76 : x
  2. Step 2: Convert to fraction form
    11,831.94/16,328.14 = 6,526.76/x
  3. Step 3: Cross multiply
    11,831.94x = 16,328.14 × 6,526.76
  4. Step 4: Simplify right side
    11,831.94x = 106,569,753.07
  5. Step 5: Solve for x
    x = 106,569,753.07/11,831.94
  6. Step 6: Final answer
    x = 9,006.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.