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Finding the Fourth Proportional to 9,604.93, 13,253.74 and 5,829.02

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Solution

The fourth proportional to 9,604.93, 13,253.74 and 5,829.02 is: 8,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.93 : 13,253.74 = 5,829.02 : x
  2. Step 2: Convert to fraction form
    9,604.93/13,253.74 = 5,829.02/x
  3. Step 3: Cross multiply
    9,604.93x = 13,253.74 × 5,829.02
  4. Step 4: Simplify right side
    9,604.93x = 77,256,315.53
  5. Step 5: Solve for x
    x = 77,256,315.53/9,604.93
  6. Step 6: Final answer
    x = 8,043.40

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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.