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Finding the Fourth Proportional to 34,157.40, 51,236.10 and 9,533.40

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Solution

The fourth proportional to 34,157.40, 51,236.10 and 9,533.40 is: 14,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.40 : 51,236.10 = 9,533.40 : x
  2. Step 2: Convert to fraction form
    34,157.40/51,236.10 = 9,533.40/x
  3. Step 3: Cross multiply
    34,157.40x = 51,236.10 × 9,533.40
  4. Step 4: Simplify right side
    34,157.40x = 488,454,235.74
  5. Step 5: Solve for x
    x = 488,454,235.74/34,157.40
  6. Step 6: Final answer
    x = 14,300.10

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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.