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Finding the Fourth Proportional to 9,456.10, 14,180.10 and 4,774.30

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Solution

The fourth proportional to 9,456.10, 14,180.10 and 4,774.30 is: 7,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.10 : 14,180.10 = 4,774.30 : x
  2. Step 2: Convert to fraction form
    9,456.10/14,180.10 = 4,774.30/x
  3. Step 3: Cross multiply
    9,456.10x = 14,180.10 × 4,774.30
  4. Step 4: Simplify right side
    9,456.10x = 67,700,051.43
  5. Step 5: Solve for x
    x = 67,700,051.43/9,456.10
  6. Step 6: Final answer
    x = 7,159.41

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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.