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Finding the Fourth Proportional to 9,715.73, 13,400.03 and 6,528.65

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Solution

The fourth proportional to 9,715.73, 13,400.03 and 6,528.65 is: 9,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.73 : 13,400.03 = 6,528.65 : x
  2. Step 2: Convert to fraction form
    9,715.73/13,400.03 = 6,528.65/x
  3. Step 3: Cross multiply
    9,715.73x = 13,400.03 × 6,528.65
  4. Step 4: Simplify right side
    9,715.73x = 87,484,055.18
  5. Step 5: Solve for x
    x = 87,484,055.18/9,715.73
  6. Step 6: Final answer
    x = 9,004.38

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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.