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Finding the Fourth Proportional to 13,063.60, 19,598.64 and 6,130

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Solution

The fourth proportional to 13,063.60, 19,598.64 and 6,130 is: 9,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063.60 : 19,598.64 = 6,130 : x
  2. Step 2: Convert to fraction form
    13,063.60/19,598.64 = 6,130/x
  3. Step 3: Cross multiply
    13,063.60x = 19,598.64 × 6,130
  4. Step 4: Simplify right side
    13,063.60x = 120,139,663.20
  5. Step 5: Solve for x
    x = 120,139,663.20/13,063.60
  6. Step 6: Final answer
    x = 9,196.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.