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Finding the Fourth Proportional to 7,852.56, 10,819.08 and 5,053.20

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Solution

The fourth proportional to 7,852.56, 10,819.08 and 5,053.20 is: 6,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.56 : 10,819.08 = 5,053.20 : x
  2. Step 2: Convert to fraction form
    7,852.56/10,819.08 = 5,053.20/x
  3. Step 3: Cross multiply
    7,852.56x = 10,819.08 × 5,053.20
  4. Step 4: Simplify right side
    7,852.56x = 54,670,975.06
  5. Step 5: Solve for x
    x = 54,670,975.06/7,852.56
  6. Step 6: Final answer
    x = 6,962.18

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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.