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Finding the Fourth Proportional to 4,700.63, 7,051.97 and 1,778.94

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Solution

The fourth proportional to 4,700.63, 7,051.97 and 1,778.94 is: 2,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.63 : 7,051.97 = 1,778.94 : x
  2. Step 2: Convert to fraction form
    4,700.63/7,051.97 = 1,778.94/x
  3. Step 3: Cross multiply
    4,700.63x = 7,051.97 × 1,778.94
  4. Step 4: Simplify right side
    4,700.63x = 12,545,031.51
  5. Step 5: Solve for x
    x = 12,545,031.51/4,700.63
  6. Step 6: Final answer
    x = 2,668.80

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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.