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Finding the Fourth Proportional to 9,706.16, 13,376.74 and 7,048.96

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Solution

The fourth proportional to 9,706.16, 13,376.74 and 7,048.96 is: 9,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.16 : 13,376.74 = 7,048.96 : x
  2. Step 2: Convert to fraction form
    9,706.16/13,376.74 = 7,048.96/x
  3. Step 3: Cross multiply
    9,706.16x = 13,376.74 × 7,048.96
  4. Step 4: Simplify right side
    9,706.16x = 94,292,105.19
  5. Step 5: Solve for x
    x = 94,292,105.19/9,706.16
  6. Step 6: Final answer
    x = 9,714.67

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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.