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Finding the Fourth Proportional to 7,864.58, 10,852.22 and 4,507.20

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Solution

The fourth proportional to 7,864.58, 10,852.22 and 4,507.20 is: 6,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.58 : 10,852.22 = 4,507.20 : x
  2. Step 2: Convert to fraction form
    7,864.58/10,852.22 = 4,507.20/x
  3. Step 3: Cross multiply
    7,864.58x = 10,852.22 × 4,507.20
  4. Step 4: Simplify right side
    7,864.58x = 48,913,103.45
  5. Step 5: Solve for x
    x = 48,913,103.45/7,864.58
  6. Step 6: Final answer
    x = 6,219.42

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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.