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Finding the Fourth Proportional to 7,831.12, 10,802.28 and 6,267.28

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Solution

The fourth proportional to 7,831.12, 10,802.28 and 6,267.28 is: 8,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.12 : 10,802.28 = 6,267.28 : x
  2. Step 2: Convert to fraction form
    7,831.12/10,802.28 = 6,267.28/x
  3. Step 3: Cross multiply
    7,831.12x = 10,802.28 × 6,267.28
  4. Step 4: Simplify right side
    7,831.12x = 67,700,913.40
  5. Step 5: Solve for x
    x = 67,700,913.40/7,831.12
  6. Step 6: Final answer
    x = 8,645.11

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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.