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Finding the Fourth Proportional to 9,651.63, 14,454.77 and 4,705.77

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Solution

The fourth proportional to 9,651.63, 14,454.77 and 4,705.77 is: 7,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.63 : 14,454.77 = 4,705.77 : x
  2. Step 2: Convert to fraction form
    9,651.63/14,454.77 = 4,705.77/x
  3. Step 3: Cross multiply
    9,651.63x = 14,454.77 × 4,705.77
  4. Step 4: Simplify right side
    9,651.63x = 68,020,799.49
  5. Step 5: Solve for x
    x = 68,020,799.49/9,651.63
  6. Step 6: Final answer
    x = 7,047.60

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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.