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Finding the Fourth Proportional to 9,141.64, 12,601.38 and 7,460.08

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Solution

The fourth proportional to 9,141.64, 12,601.38 and 7,460.08 is: 10,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.64 : 12,601.38 = 7,460.08 : x
  2. Step 2: Convert to fraction form
    9,141.64/12,601.38 = 7,460.08/x
  3. Step 3: Cross multiply
    9,141.64x = 12,601.38 × 7,460.08
  4. Step 4: Simplify right side
    9,141.64x = 94,007,302.91
  5. Step 5: Solve for x
    x = 94,007,302.91/9,141.64
  6. Step 6: Final answer
    x = 10,283.42

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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.