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Finding the Fourth Proportional to 9,762.84, 14,647.50 and 6,488.82

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Solution

The fourth proportional to 9,762.84, 14,647.50 and 6,488.82 is: 9,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.84 : 14,647.50 = 6,488.82 : x
  2. Step 2: Convert to fraction form
    9,762.84/14,647.50 = 6,488.82/x
  3. Step 3: Cross multiply
    9,762.84x = 14,647.50 × 6,488.82
  4. Step 4: Simplify right side
    9,762.84x = 95,044,990.95
  5. Step 5: Solve for x
    x = 95,044,990.95/9,762.84
  6. Step 6: Final answer
    x = 9,735.38

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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.