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Finding the Fourth Proportional to 9,511.86, 14,275.08 and 7,054.32

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Solution

The fourth proportional to 9,511.86, 14,275.08 and 7,054.32 is: 10,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.86 : 14,275.08 = 7,054.32 : x
  2. Step 2: Convert to fraction form
    9,511.86/14,275.08 = 7,054.32/x
  3. Step 3: Cross multiply
    9,511.86x = 14,275.08 × 7,054.32
  4. Step 4: Simplify right side
    9,511.86x = 100,700,982.35
  5. Step 5: Solve for x
    x = 100,700,982.35/9,511.86
  6. Step 6: Final answer
    x = 10,586.89

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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.