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Finding the Fourth Proportional to 9,830, 13,565.40 and 5,414

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Solution

The fourth proportional to 9,830, 13,565.40 and 5,414 is: 7,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 13,565.40 = 5,414 : x
  2. Step 2: Convert to fraction form
    9,830/13,565.40 = 5,414/x
  3. Step 3: Cross multiply
    9,830x = 13,565.40 × 5,414
  4. Step 4: Simplify right side
    9,830x = 73,443,075.60
  5. Step 5: Solve for x
    x = 73,443,075.60/9,830
  6. Step 6: Final answer
    x = 7,471.32

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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.