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Finding the Fourth Proportional to 9,295.93, 12,828.48 and 5,047.03

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Solution

The fourth proportional to 9,295.93, 12,828.48 and 5,047.03 is: 6,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.93 : 12,828.48 = 5,047.03 : x
  2. Step 2: Convert to fraction form
    9,295.93/12,828.48 = 5,047.03/x
  3. Step 3: Cross multiply
    9,295.93x = 12,828.48 × 5,047.03
  4. Step 4: Simplify right side
    9,295.93x = 64,745,768.10
  5. Step 5: Solve for x
    x = 64,745,768.10/9,295.93
  6. Step 6: Final answer
    x = 6,964.96

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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.