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Finding the Fourth Proportional to 9,303.54, 12,838.90 and 5,054.56

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Solution

The fourth proportional to 9,303.54, 12,838.90 and 5,054.56 is: 6,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.54 : 12,838.90 = 5,054.56 : x
  2. Step 2: Convert to fraction form
    9,303.54/12,838.90 = 5,054.56/x
  3. Step 3: Cross multiply
    9,303.54x = 12,838.90 × 5,054.56
  4. Step 4: Simplify right side
    9,303.54x = 64,894,990.38
  5. Step 5: Solve for x
    x = 64,894,990.38/9,303.54
  6. Step 6: Final answer
    x = 6,975.30

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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.