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Finding the Fourth Proportional to 12,704, 17,531.76 and 7,114.88

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Solution

The fourth proportional to 12,704, 17,531.76 and 7,114.88 is: 9,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 17,531.76 = 7,114.88 : x
  2. Step 2: Convert to fraction form
    12,704/17,531.76 = 7,114.88/x
  3. Step 3: Cross multiply
    12,704x = 17,531.76 × 7,114.88
  4. Step 4: Simplify right side
    12,704x = 124,736,368.59
  5. Step 5: Solve for x
    x = 124,736,368.59/12,704
  6. Step 6: Final answer
    x = 9,818.67

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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.