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Finding the Fourth Proportional to 9,790.48, 14,679.48 and 6,454.88

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Solution

The fourth proportional to 9,790.48, 14,679.48 and 6,454.88 is: 9,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.48 : 14,679.48 = 6,454.88 : x
  2. Step 2: Convert to fraction form
    9,790.48/14,679.48 = 6,454.88/x
  3. Step 3: Cross multiply
    9,790.48x = 14,679.48 × 6,454.88
  4. Step 4: Simplify right side
    9,790.48x = 94,754,281.86
  5. Step 5: Solve for x
    x = 94,754,281.86/9,790.48
  6. Step 6: Final answer
    x = 9,678.21

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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.