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Finding the Fourth Proportional to 30,950.70, 46,417.28 and 9,605.40

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Solution

The fourth proportional to 30,950.70, 46,417.28 and 9,605.40 is: 14,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.70 : 46,417.28 = 9,605.40 : x
  2. Step 2: Convert to fraction form
    30,950.70/46,417.28 = 9,605.40/x
  3. Step 3: Cross multiply
    30,950.70x = 46,417.28 × 9,605.40
  4. Step 4: Simplify right side
    30,950.70x = 445,856,541.31
  5. Step 5: Solve for x
    x = 445,856,541.31/30,950.70
  6. Step 6: Final answer
    x = 14,405.38

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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.