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Finding the Fourth Proportional to 13,706.58, 20,547.98 and 6,676.84

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Solution

The fourth proportional to 13,706.58, 20,547.98 and 6,676.84 is: 10,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.58 : 20,547.98 = 6,676.84 : x
  2. Step 2: Convert to fraction form
    13,706.58/20,547.98 = 6,676.84/x
  3. Step 3: Cross multiply
    13,706.58x = 20,547.98 × 6,676.84
  4. Step 4: Simplify right side
    13,706.58x = 137,195,574.78
  5. Step 5: Solve for x
    x = 137,195,574.78/13,706.58
  6. Step 6: Final answer
    x = 10,009.47

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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.