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Finding the Fourth Proportional to 30,886.88, 46,329.86 and 9,828.23

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Solution

The fourth proportional to 30,886.88, 46,329.86 and 9,828.23 is: 14,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.88 : 46,329.86 = 9,828.23 : x
  2. Step 2: Convert to fraction form
    30,886.88/46,329.86 = 9,828.23/x
  3. Step 3: Cross multiply
    30,886.88x = 46,329.86 × 9,828.23
  4. Step 4: Simplify right side
    30,886.88x = 455,340,239.16
  5. Step 5: Solve for x
    x = 455,340,239.16/30,886.88
  6. Step 6: Final answer
    x = 14,742.19

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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.