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Finding the Fourth Proportional to 9,335, 12,882.34 and 5,143.16

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Solution

The fourth proportional to 9,335, 12,882.34 and 5,143.16 is: 7,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335 : 12,882.34 = 5,143.16 : x
  2. Step 2: Convert to fraction form
    9,335/12,882.34 = 5,143.16/x
  3. Step 3: Cross multiply
    9,335x = 12,882.34 × 5,143.16
  4. Step 4: Simplify right side
    9,335x = 66,255,935.79
  5. Step 5: Solve for x
    x = 66,255,935.79/9,335
  6. Step 6: Final answer
    x = 7,097.58

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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.