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Finding the Fourth Proportional to 9,307.84, 13,966.54 and 5,147.08

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Solution

The fourth proportional to 9,307.84, 13,966.54 and 5,147.08 is: 7,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.84 : 13,966.54 = 5,147.08 : x
  2. Step 2: Convert to fraction form
    9,307.84/13,966.54 = 5,147.08/x
  3. Step 3: Cross multiply
    9,307.84x = 13,966.54 × 5,147.08
  4. Step 4: Simplify right side
    9,307.84x = 71,886,898.70
  5. Step 5: Solve for x
    x = 71,886,898.70/9,307.84
  6. Step 6: Final answer
    x = 7,723.26

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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.