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Finding the Fourth Proportional to 8,653.83, 11,948.04 and 5,824.40

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Solution

The fourth proportional to 8,653.83, 11,948.04 and 5,824.40 is: 8,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.83 : 11,948.04 = 5,824.40 : x
  2. Step 2: Convert to fraction form
    8,653.83/11,948.04 = 5,824.40/x
  3. Step 3: Cross multiply
    8,653.83x = 11,948.04 × 5,824.40
  4. Step 4: Simplify right side
    8,653.83x = 69,590,164.18
  5. Step 5: Solve for x
    x = 69,590,164.18/8,653.83
  6. Step 6: Final answer
    x = 8,041.55

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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.