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Finding the Fourth Proportional to 9,608.04, 13,256.46 and 5,828.04

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Solution

The fourth proportional to 9,608.04, 13,256.46 and 5,828.04 is: 8,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.04 : 13,256.46 = 5,828.04 : x
  2. Step 2: Convert to fraction form
    9,608.04/13,256.46 = 5,828.04/x
  3. Step 3: Cross multiply
    9,608.04x = 13,256.46 × 5,828.04
  4. Step 4: Simplify right side
    9,608.04x = 77,259,179.14
  5. Step 5: Solve for x
    x = 77,259,179.14/9,608.04
  6. Step 6: Final answer
    x = 8,041.10

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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.