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Finding the Fourth Proportional to 30,433.64, 45,657.72 and 9,657.14

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Solution

The fourth proportional to 30,433.64, 45,657.72 and 9,657.14 is: 14,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.64 : 45,657.72 = 9,657.14 : x
  2. Step 2: Convert to fraction form
    30,433.64/45,657.72 = 9,657.14/x
  3. Step 3: Cross multiply
    30,433.64x = 45,657.72 × 9,657.14
  4. Step 4: Simplify right side
    30,433.64x = 440,922,994.12
  5. Step 5: Solve for x
    x = 440,922,994.12/30,433.64
  6. Step 6: Final answer
    x = 14,488.01

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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.