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Finding the Fourth Proportional to 6,973.80, 10,460.70 and 2,590.80

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Solution

The fourth proportional to 6,973.80, 10,460.70 and 2,590.80 is: 3,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.80 : 10,460.70 = 2,590.80 : x
  2. Step 2: Convert to fraction form
    6,973.80/10,460.70 = 2,590.80/x
  3. Step 3: Cross multiply
    6,973.80x = 10,460.70 × 2,590.80
  4. Step 4: Simplify right side
    6,973.80x = 27,101,581.56
  5. Step 5: Solve for x
    x = 27,101,581.56/6,973.80
  6. Step 6: Final answer
    x = 3,886.20

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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.