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Finding the Fourth Proportional to 8,948.24, 12,348.48 and 4,969.28

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Solution

The fourth proportional to 8,948.24, 12,348.48 and 4,969.28 is: 6,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.24 : 12,348.48 = 4,969.28 : x
  2. Step 2: Convert to fraction form
    8,948.24/12,348.48 = 4,969.28/x
  3. Step 3: Cross multiply
    8,948.24x = 12,348.48 × 4,969.28
  4. Step 4: Simplify right side
    8,948.24x = 61,363,054.69
  5. Step 5: Solve for x
    x = 61,363,054.69/8,948.24
  6. Step 6: Final answer
    x = 6,857.56

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1.5x scale

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.