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Finding the Fourth Proportional to 31,303.70, 46,955.10 and 7,611.17

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Solution

The fourth proportional to 31,303.70, 46,955.10 and 7,611.17 is: 11,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.70 : 46,955.10 = 7,611.17 : x
  2. Step 2: Convert to fraction form
    31,303.70/46,955.10 = 7,611.17/x
  3. Step 3: Cross multiply
    31,303.70x = 46,955.10 × 7,611.17
  4. Step 4: Simplify right side
    31,303.70x = 357,383,013.69
  5. Step 5: Solve for x
    x = 357,383,013.69/31,303.70
  6. Step 6: Final answer
    x = 11,416.64

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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.