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Finding the Fourth Proportional to 10,706.10, 14,774.88 and 6,618.81

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Solution

The fourth proportional to 10,706.10, 14,774.88 and 6,618.81 is: 9,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.10 : 14,774.88 = 6,618.81 : x
  2. Step 2: Convert to fraction form
    10,706.10/14,774.88 = 6,618.81/x
  3. Step 3: Cross multiply
    10,706.10x = 14,774.88 × 6,618.81
  4. Step 4: Simplify right side
    10,706.10x = 97,792,123.49
  5. Step 5: Solve for x
    x = 97,792,123.49/10,706.10
  6. Step 6: Final answer
    x = 9,134.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.