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Finding the Fourth Proportional to 4,672.50, 7,004.64 and 1,748.76

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Solution

The fourth proportional to 4,672.50, 7,004.64 and 1,748.76 is: 2,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.50 : 7,004.64 = 1,748.76 : x
  2. Step 2: Convert to fraction form
    4,672.50/7,004.64 = 1,748.76/x
  3. Step 3: Cross multiply
    4,672.50x = 7,004.64 × 1,748.76
  4. Step 4: Simplify right side
    4,672.50x = 12,249,434.25
  5. Step 5: Solve for x
    x = 12,249,434.25/4,672.50
  6. Step 6: Final answer
    x = 2,621.60

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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.