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Finding the Fourth Proportional to 30,950.10, 46,424.63 and 9,889.99

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Solution

The fourth proportional to 30,950.10, 46,424.63 and 9,889.99 is: 14,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.10 : 46,424.63 = 9,889.99 : x
  2. Step 2: Convert to fraction form
    30,950.10/46,424.63 = 9,889.99/x
  3. Step 3: Cross multiply
    30,950.10x = 46,424.63 × 9,889.99
  4. Step 4: Simplify right side
    30,950.10x = 459,139,077.00
  5. Step 5: Solve for x
    x = 459,139,077.00/30,950.10
  6. Step 6: Final answer
    x = 14,834.82

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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.