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Finding the Fourth Proportional to 30,582.56, 45,880.43 and 9,522.16

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Solution

The fourth proportional to 30,582.56, 45,880.43 and 9,522.16 is: 14,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.56 : 45,880.43 = 9,522.16 : x
  2. Step 2: Convert to fraction form
    30,582.56/45,880.43 = 9,522.16/x
  3. Step 3: Cross multiply
    30,582.56x = 45,880.43 × 9,522.16
  4. Step 4: Simplify right side
    30,582.56x = 436,880,633.02
  5. Step 5: Solve for x
    x = 436,880,633.02/30,582.56
  6. Step 6: Final answer
    x = 14,285.29

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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.