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Finding the Fourth Proportional to 9,604.32, 13,256.68 and 5,828.64

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Solution

The fourth proportional to 9,604.32, 13,256.68 and 5,828.64 is: 8,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.32 : 13,256.68 = 5,828.64 : x
  2. Step 2: Convert to fraction form
    9,604.32/13,256.68 = 5,828.64/x
  3. Step 3: Cross multiply
    9,604.32x = 13,256.68 × 5,828.64
  4. Step 4: Simplify right side
    9,604.32x = 77,268,415.32
  5. Step 5: Solve for x
    x = 77,268,415.32/9,604.32
  6. Step 6: Final answer
    x = 8,045.17

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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.