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Finding the Fourth Proportional to 7,018.16, 9,681 and 4,534.16

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Solution

The fourth proportional to 7,018.16, 9,681 and 4,534.16 is: 6,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.16 : 9,681 = 4,534.16 : x
  2. Step 2: Convert to fraction form
    7,018.16/9,681 = 4,534.16/x
  3. Step 3: Cross multiply
    7,018.16x = 9,681 × 4,534.16
  4. Step 4: Simplify right side
    7,018.16x = 43,895,202.96
  5. Step 5: Solve for x
    x = 43,895,202.96/7,018.16
  6. Step 6: Final answer
    x = 6,254.52

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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.