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Finding the Fourth Proportional to 24,535.74, 36,802.86 and 7,005.60

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Solution

The fourth proportional to 24,535.74, 36,802.86 and 7,005.60 is: 10,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.74 : 36,802.86 = 7,005.60 : x
  2. Step 2: Convert to fraction form
    24,535.74/36,802.86 = 7,005.60/x
  3. Step 3: Cross multiply
    24,535.74x = 36,802.86 × 7,005.60
  4. Step 4: Simplify right side
    24,535.74x = 257,826,116.02
  5. Step 5: Solve for x
    x = 257,826,116.02/24,535.74
  6. Step 6: Final answer
    x = 10,508.19

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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.