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Finding the Fourth Proportional to 9,706.13, 13,376.69 and 7,048.92

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Solution

The fourth proportional to 9,706.13, 13,376.69 and 7,048.92 is: 9,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.13 : 13,376.69 = 7,048.92 : x
  2. Step 2: Convert to fraction form
    9,706.13/13,376.69 = 7,048.92/x
  3. Step 3: Cross multiply
    9,706.13x = 13,376.69 × 7,048.92
  4. Step 4: Simplify right side
    9,706.13x = 94,291,298.68
  5. Step 5: Solve for x
    x = 94,291,298.68/9,706.13
  6. Step 6: Final answer
    x = 9,714.61

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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.