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Finding the Fourth Proportional to 11,831.49, 17,752.50 and 6,283.49

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Solution

The fourth proportional to 11,831.49, 17,752.50 and 6,283.49 is: 9,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.49 : 17,752.50 = 6,283.49 : x
  2. Step 2: Convert to fraction form
    11,831.49/17,752.50 = 6,283.49/x
  3. Step 3: Cross multiply
    11,831.49x = 17,752.50 × 6,283.49
  4. Step 4: Simplify right side
    11,831.49x = 111,547,567.46
  5. Step 5: Solve for x
    x = 111,547,567.46/11,831.49
  6. Step 6: Final answer
    x = 9,428.02

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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.