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Finding the Fourth Proportional to 4,831.82, 7,182.58 and 4,689.92

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Solution

The fourth proportional to 4,831.82, 7,182.58 and 4,689.92 is: 6,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.82 : 7,182.58 = 4,689.92 : x
  2. Step 2: Convert to fraction form
    4,831.82/7,182.58 = 4,689.92/x
  3. Step 3: Cross multiply
    4,831.82x = 7,182.58 × 4,689.92
  4. Step 4: Simplify right side
    4,831.82x = 33,685,725.59
  5. Step 5: Solve for x
    x = 33,685,725.59/4,831.82
  6. Step 6: Final answer
    x = 6,971.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.