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Finding the Fourth Proportional to 9,653.40, 14,482.84 and 4,976.82

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Solution

The fourth proportional to 9,653.40, 14,482.84 and 4,976.82 is: 7,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.40 : 14,482.84 = 4,976.82 : x
  2. Step 2: Convert to fraction form
    9,653.40/14,482.84 = 4,976.82/x
  3. Step 3: Cross multiply
    9,653.40x = 14,482.84 × 4,976.82
  4. Step 4: Simplify right side
    9,653.40x = 72,078,487.77
  5. Step 5: Solve for x
    x = 72,078,487.77/9,653.40
  6. Step 6: Final answer
    x = 7,466.64

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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.