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Finding the Fourth Proportional to 9,307.71, 12,846.63 and 5,722.65

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Solution

The fourth proportional to 9,307.71, 12,846.63 and 5,722.65 is: 7,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.71 : 12,846.63 = 5,722.65 : x
  2. Step 2: Convert to fraction form
    9,307.71/12,846.63 = 5,722.65/x
  3. Step 3: Cross multiply
    9,307.71x = 12,846.63 × 5,722.65
  4. Step 4: Simplify right side
    9,307.71x = 73,516,767.17
  5. Step 5: Solve for x
    x = 73,516,767.17/9,307.71
  6. Step 6: Final answer
    x = 7,898.48

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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.