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Finding the Fourth Proportional to 8,053.50, 11,113.86 and 4,698.63

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Solution

The fourth proportional to 8,053.50, 11,113.86 and 4,698.63 is: 6,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.50 : 11,113.86 = 4,698.63 : x
  2. Step 2: Convert to fraction form
    8,053.50/11,113.86 = 4,698.63/x
  3. Step 3: Cross multiply
    8,053.50x = 11,113.86 × 4,698.63
  4. Step 4: Simplify right side
    8,053.50x = 52,219,916.01
  5. Step 5: Solve for x
    x = 52,219,916.01/8,053.50
  6. Step 6: Final answer
    x = 6,484.13

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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.