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Finding the Fourth Proportional to 11,714.56, 17,528.56 and 7,037.40

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Solution

The fourth proportional to 11,714.56, 17,528.56 and 7,037.40 is: 10,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.56 : 17,528.56 = 7,037.40 : x
  2. Step 2: Convert to fraction form
    11,714.56/17,528.56 = 7,037.40/x
  3. Step 3: Cross multiply
    11,714.56x = 17,528.56 × 7,037.40
  4. Step 4: Simplify right side
    11,714.56x = 123,355,488.14
  5. Step 5: Solve for x
    x = 123,355,488.14/11,714.56
  6. Step 6: Final answer
    x = 10,530.10

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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.