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Finding the Fourth Proportional to 4,704.69, 7,055.88 and 1,416.90

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Solution

The fourth proportional to 4,704.69, 7,055.88 and 1,416.90 is: 2,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.69 : 7,055.88 = 1,416.90 : x
  2. Step 2: Convert to fraction form
    4,704.69/7,055.88 = 1,416.90/x
  3. Step 3: Cross multiply
    4,704.69x = 7,055.88 × 1,416.90
  4. Step 4: Simplify right side
    4,704.69x = 9,997,476.37
  5. Step 5: Solve for x
    x = 9,997,476.37/4,704.69
  6. Step 6: Final answer
    x = 2,125.00

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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.