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Finding the Fourth Proportional to 30,831.76, 46,253.47 and 9,777.11

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Solution

The fourth proportional to 30,831.76, 46,253.47 and 9,777.11 is: 14,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.76 : 46,253.47 = 9,777.11 : x
  2. Step 2: Convert to fraction form
    30,831.76/46,253.47 = 9,777.11/x
  3. Step 3: Cross multiply
    30,831.76x = 46,253.47 × 9,777.11
  4. Step 4: Simplify right side
    30,831.76x = 452,225,008.36
  5. Step 5: Solve for x
    x = 452,225,008.36/30,831.76
  6. Step 6: Final answer
    x = 14,667.51

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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.