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Finding the Fourth Proportional to 30,807.40, 46,210.68 and 7,433.64

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Solution

The fourth proportional to 30,807.40, 46,210.68 and 7,433.64 is: 11,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.40 : 46,210.68 = 7,433.64 : x
  2. Step 2: Convert to fraction form
    30,807.40/46,210.68 = 7,433.64/x
  3. Step 3: Cross multiply
    30,807.40x = 46,210.68 × 7,433.64
  4. Step 4: Simplify right side
    30,807.40x = 343,513,559.28
  5. Step 5: Solve for x
    x = 343,513,559.28/30,807.40
  6. Step 6: Final answer
    x = 11,150.36

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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.