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Finding the Fourth Proportional to 7,663.98, 11,482.47 and 5,461.32

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Solution

The fourth proportional to 7,663.98, 11,482.47 and 5,461.32 is: 8,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.98 : 11,482.47 = 5,461.32 : x
  2. Step 2: Convert to fraction form
    7,663.98/11,482.47 = 5,461.32/x
  3. Step 3: Cross multiply
    7,663.98x = 11,482.47 × 5,461.32
  4. Step 4: Simplify right side
    7,663.98x = 62,709,443.06
  5. Step 5: Solve for x
    x = 62,709,443.06/7,663.98
  6. Step 6: Final answer
    x = 8,182.36

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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.