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Finding the Fourth Proportional to 30,899.87, 46,354.25 and 9,554.25

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Solution

The fourth proportional to 30,899.87, 46,354.25 and 9,554.25 is: 14,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.87 : 46,354.25 = 9,554.25 : x
  2. Step 2: Convert to fraction form
    30,899.87/46,354.25 = 9,554.25/x
  3. Step 3: Cross multiply
    30,899.87x = 46,354.25 × 9,554.25
  4. Step 4: Simplify right side
    30,899.87x = 442,879,929.41
  5. Step 5: Solve for x
    x = 442,879,929.41/30,899.87
  6. Step 6: Final answer
    x = 14,332.74

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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.