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Finding the Fourth Proportional to 7,894.94, 11,831.10 and 5,798.50

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Solution

The fourth proportional to 7,894.94, 11,831.10 and 5,798.50 is: 8,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.94 : 11,831.10 = 5,798.50 : x
  2. Step 2: Convert to fraction form
    7,894.94/11,831.10 = 5,798.50/x
  3. Step 3: Cross multiply
    7,894.94x = 11,831.10 × 5,798.50
  4. Step 4: Simplify right side
    7,894.94x = 68,602,633.35
  5. Step 5: Solve for x
    x = 68,602,633.35/7,894.94
  6. Step 6: Final answer
    x = 8,689.44

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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.