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Finding the Fourth Proportional to 4,964, 7,446 and 1,316

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Solution

The fourth proportional to 4,964, 7,446 and 1,316 is: 1,974

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964 : 7,446 = 1,316 : x
  2. Step 2: Convert to fraction form
    4,964/7,446 = 1,316/x
  3. Step 3: Cross multiply
    4,964x = 7,446 × 1,316
  4. Step 4: Simplify right side
    4,964x = 9,798,936
  5. Step 5: Solve for x
    x = 9,798,936/4,964
  6. Step 6: Final answer
    x = 1,974

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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.