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Finding the Fourth Proportional to 4,690.98, 7,033.68 and 1,570.23

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Solution

The fourth proportional to 4,690.98, 7,033.68 and 1,570.23 is: 2,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.98 : 7,033.68 = 1,570.23 : x
  2. Step 2: Convert to fraction form
    4,690.98/7,033.68 = 1,570.23/x
  3. Step 3: Cross multiply
    4,690.98x = 7,033.68 × 1,570.23
  4. Step 4: Simplify right side
    4,690.98x = 11,044,495.35
  5. Step 5: Solve for x
    x = 11,044,495.35/4,690.98
  6. Step 6: Final answer
    x = 2,354.41

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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.