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Finding the Fourth Proportional to 9,488.94, 14,235.90 and 6,823.63

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Solution

The fourth proportional to 9,488.94, 14,235.90 and 6,823.63 is: 10,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.94 : 14,235.90 = 6,823.63 : x
  2. Step 2: Convert to fraction form
    9,488.94/14,235.90 = 6,823.63/x
  3. Step 3: Cross multiply
    9,488.94x = 14,235.90 × 6,823.63
  4. Step 4: Simplify right side
    9,488.94x = 97,140,514.32
  5. Step 5: Solve for x
    x = 97,140,514.32/9,488.94
  6. Step 6: Final answer
    x = 10,237.24

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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.