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Finding the Fourth Proportional to 4,952.95, 7,429.06 and 1,831.50

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Solution

The fourth proportional to 4,952.95, 7,429.06 and 1,831.50 is: 2,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.95 : 7,429.06 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    4,952.95/7,429.06 = 1,831.50/x
  3. Step 3: Cross multiply
    4,952.95x = 7,429.06 × 1,831.50
  4. Step 4: Simplify right side
    4,952.95x = 13,606,323.39
  5. Step 5: Solve for x
    x = 13,606,323.39/4,952.95
  6. Step 6: Final answer
    x = 2,747.12

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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.