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Finding the Fourth Proportional to 10,774.92, 14,869.63 and 6,526.68

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Solution

The fourth proportional to 10,774.92, 14,869.63 and 6,526.68 is: 9,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.92 : 14,869.63 = 6,526.68 : x
  2. Step 2: Convert to fraction form
    10,774.92/14,869.63 = 6,526.68/x
  3. Step 3: Cross multiply
    10,774.92x = 14,869.63 × 6,526.68
  4. Step 4: Simplify right side
    10,774.92x = 97,049,232.41
  5. Step 5: Solve for x
    x = 97,049,232.41/10,774.92
  6. Step 6: Final answer
    x = 9,006.95

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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.