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Finding the Fourth Proportional to 6,706.68, 9,253.30 and 4,052.16

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Solution

The fourth proportional to 6,706.68, 9,253.30 and 4,052.16 is: 5,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.68 : 9,253.30 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    6,706.68/9,253.30 = 4,052.16/x
  3. Step 3: Cross multiply
    6,706.68x = 9,253.30 × 4,052.16
  4. Step 4: Simplify right side
    6,706.68x = 37,495,852.13
  5. Step 5: Solve for x
    x = 37,495,852.13/6,706.68
  6. Step 6: Final answer
    x = 5,590.82

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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.