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Finding the Fourth Proportional to 7,882.08, 10,878.24 and 4,570.08

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Solution

The fourth proportional to 7,882.08, 10,878.24 and 4,570.08 is: 6,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.08 : 10,878.24 = 4,570.08 : x
  2. Step 2: Convert to fraction form
    7,882.08/10,878.24 = 4,570.08/x
  3. Step 3: Cross multiply
    7,882.08x = 10,878.24 × 4,570.08
  4. Step 4: Simplify right side
    7,882.08x = 49,714,427.06
  5. Step 5: Solve for x
    x = 49,714,427.06/7,882.08
  6. Step 6: Final answer
    x = 6,307.27

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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.