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Finding the Fourth Proportional to 9,804.34, 13,516.74 and 6,655.06

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Solution

The fourth proportional to 9,804.34, 13,516.74 and 6,655.06 is: 9,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.34 : 13,516.74 = 6,655.06 : x
  2. Step 2: Convert to fraction form
    9,804.34/13,516.74 = 6,655.06/x
  3. Step 3: Cross multiply
    9,804.34x = 13,516.74 × 6,655.06
  4. Step 4: Simplify right side
    9,804.34x = 89,954,715.70
  5. Step 5: Solve for x
    x = 89,954,715.70/9,804.34
  6. Step 6: Final answer
    x = 9,174.99

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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.