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Finding the Fourth Proportional to 7,037.36, 9,711 and 4,387.76

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Solution

The fourth proportional to 7,037.36, 9,711 and 4,387.76 is: 6,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.36 : 9,711 = 4,387.76 : x
  2. Step 2: Convert to fraction form
    7,037.36/9,711 = 4,387.76/x
  3. Step 3: Cross multiply
    7,037.36x = 9,711 × 4,387.76
  4. Step 4: Simplify right side
    7,037.36x = 42,609,537.36
  5. Step 5: Solve for x
    x = 42,609,537.36/7,037.36
  6. Step 6: Final answer
    x = 6,054.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.