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Finding the Fourth Proportional to 4,703.82, 7,055.87 and 1,416.91

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Solution

The fourth proportional to 4,703.82, 7,055.87 and 1,416.91 is: 2,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.82 : 7,055.87 = 1,416.91 : x
  2. Step 2: Convert to fraction form
    4,703.82/7,055.87 = 1,416.91/x
  3. Step 3: Cross multiply
    4,703.82x = 7,055.87 × 1,416.91
  4. Step 4: Simplify right side
    4,703.82x = 9,997,532.76
  5. Step 5: Solve for x
    x = 9,997,532.76/4,703.82
  6. Step 6: Final answer
    x = 2,125.41

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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.