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Finding the Fourth Proportional to 9,715.16, 14,532.63 and 7,357.46

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Solution

The fourth proportional to 9,715.16, 14,532.63 and 7,357.46 is: 11,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.16 : 14,532.63 = 7,357.46 : x
  2. Step 2: Convert to fraction form
    9,715.16/14,532.63 = 7,357.46/x
  3. Step 3: Cross multiply
    9,715.16x = 14,532.63 × 7,357.46
  4. Step 4: Simplify right side
    9,715.16x = 106,923,171.26
  5. Step 5: Solve for x
    x = 106,923,171.26/9,715.16
  6. Step 6: Final answer
    x = 11,005.81

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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.