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Finding the Fourth Proportional to 30,799.64, 46,199.46 and 7,426.10

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Solution

The fourth proportional to 30,799.64, 46,199.46 and 7,426.10 is: 11,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,799.64 : 46,199.46 = 7,426.10 : x
  2. Step 2: Convert to fraction form
    30,799.64/46,199.46 = 7,426.10/x
  3. Step 3: Cross multiply
    30,799.64x = 46,199.46 × 7,426.10
  4. Step 4: Simplify right side
    30,799.64x = 343,081,809.91
  5. Step 5: Solve for x
    x = 343,081,809.91/30,799.64
  6. Step 6: Final answer
    x = 11,139.15

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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.