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Finding the Fourth Proportional to 16,464.70, 24,668.70 and 7,681.60

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Solution

The fourth proportional to 16,464.70, 24,668.70 and 7,681.60 is: 11,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.70 : 24,668.70 = 7,681.60 : x
  2. Step 2: Convert to fraction form
    16,464.70/24,668.70 = 7,681.60/x
  3. Step 3: Cross multiply
    16,464.70x = 24,668.70 × 7,681.60
  4. Step 4: Simplify right side
    16,464.70x = 189,495,085.92
  5. Step 5: Solve for x
    x = 189,495,085.92/16,464.70
  6. Step 6: Final answer
    x = 11,509.17

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1.5x scale

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.