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Finding the Fourth Proportional to 9,507.76, 14,249.76 and 4,576.08

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Solution

The fourth proportional to 9,507.76, 14,249.76 and 4,576.08 is: 6,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.76 : 14,249.76 = 4,576.08 : x
  2. Step 2: Convert to fraction form
    9,507.76/14,249.76 = 4,576.08/x
  3. Step 3: Cross multiply
    9,507.76x = 14,249.76 × 4,576.08
  4. Step 4: Simplify right side
    9,507.76x = 65,208,041.74
  5. Step 5: Solve for x
    x = 65,208,041.74/9,507.76
  6. Step 6: Final answer
    x = 6,858.40

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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.