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Finding the Fourth Proportional to 9,803.84, 14,697.47 and 4,253.00

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Solution

The fourth proportional to 9,803.84, 14,697.47 and 4,253.00 is: 6,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.84 : 14,697.47 = 4,253.00 : x
  2. Step 2: Convert to fraction form
    9,803.84/14,697.47 = 4,253.00/x
  3. Step 3: Cross multiply
    9,803.84x = 14,697.47 × 4,253.00
  4. Step 4: Simplify right side
    9,803.84x = 62,508,277.06
  5. Step 5: Solve for x
    x = 62,508,277.06/9,803.84
  6. Step 6: Final answer
    x = 6,375.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.