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Finding the Fourth Proportional to 12,007, 16,569.60 and 6,701.50

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Solution

The fourth proportional to 12,007, 16,569.60 and 6,701.50 is: 9,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007 : 16,569.60 = 6,701.50 : x
  2. Step 2: Convert to fraction form
    12,007/16,569.60 = 6,701.50/x
  3. Step 3: Cross multiply
    12,007x = 16,569.60 × 6,701.50
  4. Step 4: Simplify right side
    12,007x = 111,041,174.40
  5. Step 5: Solve for x
    x = 111,041,174.40/12,007
  6. Step 6: Final answer
    x = 9,248.04

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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.