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Finding the Fourth Proportional to 14,894, 22,347.12 and 6,569.60

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Solution

The fourth proportional to 14,894, 22,347.12 and 6,569.60 is: 9,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 22,347.12 = 6,569.60 : x
  2. Step 2: Convert to fraction form
    14,894/22,347.12 = 6,569.60/x
  3. Step 3: Cross multiply
    14,894x = 22,347.12 × 6,569.60
  4. Step 4: Simplify right side
    14,894x = 146,811,639.55
  5. Step 5: Solve for x
    x = 146,811,639.55/14,894
  6. Step 6: Final answer
    x = 9,857.10

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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.