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Finding the Fourth Proportional to 10,284.80, 15,427.20 and 9,507.20

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Solution

The fourth proportional to 10,284.80, 15,427.20 and 9,507.20 is: 14,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.80 : 15,427.20 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    10,284.80/15,427.20 = 9,507.20/x
  3. Step 3: Cross multiply
    10,284.80x = 15,427.20 × 9,507.20
  4. Step 4: Simplify right side
    10,284.80x = 146,669,475.84
  5. Step 5: Solve for x
    x = 146,669,475.84/10,284.80
  6. Step 6: Final answer
    x = 14,260.80

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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.