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Finding the Fourth Proportional to 7,562.56, 10,435.62 and 7,005.28

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Solution

The fourth proportional to 7,562.56, 10,435.62 and 7,005.28 is: 9,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.56 : 10,435.62 = 7,005.28 : x
  2. Step 2: Convert to fraction form
    7,562.56/10,435.62 = 7,005.28/x
  3. Step 3: Cross multiply
    7,562.56x = 10,435.62 × 7,005.28
  4. Step 4: Simplify right side
    7,562.56x = 73,104,440.07
  5. Step 5: Solve for x
    x = 73,104,440.07/7,562.56
  6. Step 6: Final answer
    x = 9,666.63

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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.