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Finding the Fourth Proportional to 7,219.84, 9,957.14 and 4,701

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Solution

The fourth proportional to 7,219.84, 9,957.14 and 4,701 is: 6,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.84 : 9,957.14 = 4,701 : x
  2. Step 2: Convert to fraction form
    7,219.84/9,957.14 = 4,701/x
  3. Step 3: Cross multiply
    7,219.84x = 9,957.14 × 4,701
  4. Step 4: Simplify right side
    7,219.84x = 46,808,515.14
  5. Step 5: Solve for x
    x = 46,808,515.14/7,219.84
  6. Step 6: Final answer
    x = 6,483.32

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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.