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Finding the Fourth Proportional to 6,281.04, 9,421.52 and 1,664

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Solution

The fourth proportional to 6,281.04, 9,421.52 and 1,664 is: 2,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.04 : 9,421.52 = 1,664 : x
  2. Step 2: Convert to fraction form
    6,281.04/9,421.52 = 1,664/x
  3. Step 3: Cross multiply
    6,281.04x = 9,421.52 × 1,664
  4. Step 4: Simplify right side
    6,281.04x = 15,677,409.28
  5. Step 5: Solve for x
    x = 15,677,409.28/6,281.04
  6. Step 6: Final answer
    x = 2,495.99

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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.