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Finding the Fourth Proportional to 7,831.96, 10,808.10 and 4,295.22

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Solution

The fourth proportional to 7,831.96, 10,808.10 and 4,295.22 is: 5,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.96 : 10,808.10 = 4,295.22 : x
  2. Step 2: Convert to fraction form
    7,831.96/10,808.10 = 4,295.22/x
  3. Step 3: Cross multiply
    7,831.96x = 10,808.10 × 4,295.22
  4. Step 4: Simplify right side
    7,831.96x = 46,423,167.28
  5. Step 5: Solve for x
    x = 46,423,167.28/7,831.96
  6. Step 6: Final answer
    x = 5,927.40

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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.