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Finding the Fourth Proportional to 9,776.57, 14,636.88 and 6,483.11

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Solution

The fourth proportional to 9,776.57, 14,636.88 and 6,483.11 is: 9,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.57 : 14,636.88 = 6,483.11 : x
  2. Step 2: Convert to fraction form
    9,776.57/14,636.88 = 6,483.11/x
  3. Step 3: Cross multiply
    9,776.57x = 14,636.88 × 6,483.11
  4. Step 4: Simplify right side
    9,776.57x = 94,892,429.91
  5. Step 5: Solve for x
    x = 94,892,429.91/9,776.57
  6. Step 6: Final answer
    x = 9,706.11

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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.