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Finding the Fourth Proportional to 9,772.53, 14,658.67 and 2,376.99

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Solution

The fourth proportional to 9,772.53, 14,658.67 and 2,376.99 is: 3,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.53 : 14,658.67 = 2,376.99 : x
  2. Step 2: Convert to fraction form
    9,772.53/14,658.67 = 2,376.99/x
  3. Step 3: Cross multiply
    9,772.53x = 14,658.67 × 2,376.99
  4. Step 4: Simplify right side
    9,772.53x = 34,843,512.00
  5. Step 5: Solve for x
    x = 34,843,512.00/9,772.53
  6. Step 6: Final answer
    x = 3,565.45

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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.