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Finding the Fourth Proportional to 9,749.64, 13,460.64 and 7,507.29

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Solution

The fourth proportional to 9,749.64, 13,460.64 and 7,507.29 is: 10,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.64 : 13,460.64 = 7,507.29 : x
  2. Step 2: Convert to fraction form
    9,749.64/13,460.64 = 7,507.29/x
  3. Step 3: Cross multiply
    9,749.64x = 13,460.64 × 7,507.29
  4. Step 4: Simplify right side
    9,749.64x = 101,052,928.07
  5. Step 5: Solve for x
    x = 101,052,928.07/9,749.64
  6. Step 6: Final answer
    x = 10,364.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.