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Finding the Fourth Proportional to 9,507.80, 14,277.90 and 5,133.80

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Solution

The fourth proportional to 9,507.80, 14,277.90 and 5,133.80 is: 7,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.80 : 14,277.90 = 5,133.80 : x
  2. Step 2: Convert to fraction form
    9,507.80/14,277.90 = 5,133.80/x
  3. Step 3: Cross multiply
    9,507.80x = 14,277.90 × 5,133.80
  4. Step 4: Simplify right side
    9,507.80x = 73,299,883.02
  5. Step 5: Solve for x
    x = 73,299,883.02/9,507.80
  6. Step 6: Final answer
    x = 7,709.45

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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.