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Finding the Fourth Proportional to 7,803.76, 10,763.55 and 4,968.34

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Solution

The fourth proportional to 7,803.76, 10,763.55 and 4,968.34 is: 6,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.76 : 10,763.55 = 4,968.34 : x
  2. Step 2: Convert to fraction form
    7,803.76/10,763.55 = 4,968.34/x
  3. Step 3: Cross multiply
    7,803.76x = 10,763.55 × 4,968.34
  4. Step 4: Simplify right side
    7,803.76x = 53,476,976.01
  5. Step 5: Solve for x
    x = 53,476,976.01/7,803.76
  6. Step 6: Final answer
    x = 6,852.72

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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.