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Finding the Fourth Proportional to 7,167.60, 10,751.76 and 1,973.76

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Solution

The fourth proportional to 7,167.60, 10,751.76 and 1,973.76 is: 2,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.60 : 10,751.76 = 1,973.76 : x
  2. Step 2: Convert to fraction form
    7,167.60/10,751.76 = 1,973.76/x
  3. Step 3: Cross multiply
    7,167.60x = 10,751.76 × 1,973.76
  4. Step 4: Simplify right side
    7,167.60x = 21,221,393.82
  5. Step 5: Solve for x
    x = 21,221,393.82/7,167.60
  6. Step 6: Final answer
    x = 2,960.74

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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.