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Finding the Fourth Proportional to 30,597.02, 45,886.70 and 8,411.12

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Solution

The fourth proportional to 30,597.02, 45,886.70 and 8,411.12 is: 12,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.02 : 45,886.70 = 8,411.12 : x
  2. Step 2: Convert to fraction form
    30,597.02/45,886.70 = 8,411.12/x
  3. Step 3: Cross multiply
    30,597.02x = 45,886.70 × 8,411.12
  4. Step 4: Simplify right side
    30,597.02x = 385,958,540.10
  5. Step 5: Solve for x
    x = 385,958,540.10/30,597.02
  6. Step 6: Final answer
    x = 12,614.25

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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.