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Finding the Fourth Proportional to 23,694.12, 35,547 and 7,054.08

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Solution

The fourth proportional to 23,694.12, 35,547 and 7,054.08 is: 10,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.12 : 35,547 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    23,694.12/35,547 = 7,054.08/x
  3. Step 3: Cross multiply
    23,694.12x = 35,547 × 7,054.08
  4. Step 4: Simplify right side
    23,694.12x = 250,751,381.76
  5. Step 5: Solve for x
    x = 250,751,381.76/23,694.12
  6. Step 6: Final answer
    x = 10,582.85

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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.