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Finding the Fourth Proportional to 22,552.16, 33,831.48 and 6,971

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Solution

The fourth proportional to 22,552.16, 33,831.48 and 6,971 is: 10,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.16 : 33,831.48 = 6,971 : x
  2. Step 2: Convert to fraction form
    22,552.16/33,831.48 = 6,971/x
  3. Step 3: Cross multiply
    22,552.16x = 33,831.48 × 6,971
  4. Step 4: Simplify right side
    22,552.16x = 235,839,247.08
  5. Step 5: Solve for x
    x = 235,839,247.08/22,552.16
  6. Step 6: Final answer
    x = 10,457.50

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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.