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Finding the Fourth Proportional to 9,866.82, 14,800.22 and 4,931.49

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Solution

The fourth proportional to 9,866.82, 14,800.22 and 4,931.49 is: 7,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.82 : 14,800.22 = 4,931.49 : x
  2. Step 2: Convert to fraction form
    9,866.82/14,800.22 = 4,931.49/x
  3. Step 3: Cross multiply
    9,866.82x = 14,800.22 × 4,931.49
  4. Step 4: Simplify right side
    9,866.82x = 72,987,075.26
  5. Step 5: Solve for x
    x = 72,987,075.26/9,866.82
  6. Step 6: Final answer
    x = 7,397.23

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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.