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Finding the Fourth Proportional to 13,802.70, 19,037.70 and 8,495.58

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Solution

The fourth proportional to 13,802.70, 19,037.70 and 8,495.58 is: 11,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.70 : 19,037.70 = 8,495.58 : x
  2. Step 2: Convert to fraction form
    13,802.70/19,037.70 = 8,495.58/x
  3. Step 3: Cross multiply
    13,802.70x = 19,037.70 × 8,495.58
  4. Step 4: Simplify right side
    13,802.70x = 161,736,303.37
  5. Step 5: Solve for x
    x = 161,736,303.37/13,802.70
  6. Step 6: Final answer
    x = 11,717.73

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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.