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Finding the Fourth Proportional to 46,510.07, 69,765.09 and 13,678.07

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Solution

The fourth proportional to 46,510.07, 69,765.09 and 13,678.07 is: 20,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.07 : 69,765.09 = 13,678.07 : x
  2. Step 2: Convert to fraction form
    46,510.07/69,765.09 = 13,678.07/x
  3. Step 3: Cross multiply
    46,510.07x = 69,765.09 × 13,678.07
  4. Step 4: Simplify right side
    46,510.07x = 954,251,784.58
  5. Step 5: Solve for x
    x = 954,251,784.58/46,510.07
  6. Step 6: Final answer
    x = 20,517.10

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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.