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Finding the Fourth Proportional to 10,970.16, 16,462.08 and 4,044

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Solution

The fourth proportional to 10,970.16, 16,462.08 and 4,044 is: 6,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.16 : 16,462.08 = 4,044 : x
  2. Step 2: Convert to fraction form
    10,970.16/16,462.08 = 4,044/x
  3. Step 3: Cross multiply
    10,970.16x = 16,462.08 × 4,044
  4. Step 4: Simplify right side
    10,970.16x = 66,572,651.52
  5. Step 5: Solve for x
    x = 66,572,651.52/10,970.16
  6. Step 6: Final answer
    x = 6,068.52

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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.