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Finding the Fourth Proportional to 9,207, 12,706.02 and 5,483.16

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Solution

The fourth proportional to 9,207, 12,706.02 and 5,483.16 is: 7,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 12,706.02 = 5,483.16 : x
  2. Step 2: Convert to fraction form
    9,207/12,706.02 = 5,483.16/x
  3. Step 3: Cross multiply
    9,207x = 12,706.02 × 5,483.16
  4. Step 4: Simplify right side
    9,207x = 69,669,140.62
  5. Step 5: Solve for x
    x = 69,669,140.62/9,207
  6. Step 6: Final answer
    x = 7,566.98

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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.