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Finding the Fourth Proportional to 9,617, 13,271.46 and 5,425.16

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Solution

The fourth proportional to 9,617, 13,271.46 and 5,425.16 is: 7,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 13,271.46 = 5,425.16 : x
  2. Step 2: Convert to fraction form
    9,617/13,271.46 = 5,425.16/x
  3. Step 3: Cross multiply
    9,617x = 13,271.46 × 5,425.16
  4. Step 4: Simplify right side
    9,617x = 71,999,793.93
  5. Step 5: Solve for x
    x = 71,999,793.93/9,617
  6. Step 6: Final answer
    x = 7,486.72

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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.