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Finding the Fourth Proportional to 9,306.70, 13,960.05 and 5,370.10

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Solution

The fourth proportional to 9,306.70, 13,960.05 and 5,370.10 is: 8,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.70 : 13,960.05 = 5,370.10 : x
  2. Step 2: Convert to fraction form
    9,306.70/13,960.05 = 5,370.10/x
  3. Step 3: Cross multiply
    9,306.70x = 13,960.05 × 5,370.10
  4. Step 4: Simplify right side
    9,306.70x = 74,966,864.51
  5. Step 5: Solve for x
    x = 74,966,864.51/9,306.70
  6. Step 6: Final answer
    x = 8,055.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.