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Finding the Fourth Proportional to 10,564.64, 14,580.22 and 7,029

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Solution

The fourth proportional to 10,564.64, 14,580.22 and 7,029 is: 9,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.64 : 14,580.22 = 7,029 : x
  2. Step 2: Convert to fraction form
    10,564.64/14,580.22 = 7,029/x
  3. Step 3: Cross multiply
    10,564.64x = 14,580.22 × 7,029
  4. Step 4: Simplify right side
    10,564.64x = 102,484,366.38
  5. Step 5: Solve for x
    x = 102,484,366.38/10,564.64
  6. Step 6: Final answer
    x = 9,700.70

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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.