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Finding the Fourth Proportional to 30,965.69, 46,434.36 and 9,901.64

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Solution

The fourth proportional to 30,965.69, 46,434.36 and 9,901.64 is: 14,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.69 : 46,434.36 = 9,901.64 : x
  2. Step 2: Convert to fraction form
    30,965.69/46,434.36 = 9,901.64/x
  3. Step 3: Cross multiply
    30,965.69x = 46,434.36 × 9,901.64
  4. Step 4: Simplify right side
    30,965.69x = 459,776,316.35
  5. Step 5: Solve for x
    x = 459,776,316.35/30,965.69
  6. Step 6: Final answer
    x = 14,847.93

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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.