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Finding the Fourth Proportional to 7,803.17, 10,774.01 and 4,823.09

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Solution

The fourth proportional to 7,803.17, 10,774.01 and 4,823.09 is: 6,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.17 : 10,774.01 = 4,823.09 : x
  2. Step 2: Convert to fraction form
    7,803.17/10,774.01 = 4,823.09/x
  3. Step 3: Cross multiply
    7,803.17x = 10,774.01 × 4,823.09
  4. Step 4: Simplify right side
    7,803.17x = 51,964,019.89
  5. Step 5: Solve for x
    x = 51,964,019.89/7,803.17
  6. Step 6: Final answer
    x = 6,659.35

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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.