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Finding the Fourth Proportional to 9,557.45, 14,337.45 and 2,984.30

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Solution

The fourth proportional to 9,557.45, 14,337.45 and 2,984.30 is: 4,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.45 : 14,337.45 = 2,984.30 : x
  2. Step 2: Convert to fraction form
    9,557.45/14,337.45 = 2,984.30/x
  3. Step 3: Cross multiply
    9,557.45x = 14,337.45 × 2,984.30
  4. Step 4: Simplify right side
    9,557.45x = 42,787,180.35
  5. Step 5: Solve for x
    x = 42,787,180.35/9,557.45
  6. Step 6: Final answer
    x = 4,476.84

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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.