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Finding the Fourth Proportional to 9,668.97, 14,484.93 and 6,543.59

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Solution

The fourth proportional to 9,668.97, 14,484.93 and 6,543.59 is: 9,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.97 : 14,484.93 = 6,543.59 : x
  2. Step 2: Convert to fraction form
    9,668.97/14,484.93 = 6,543.59/x
  3. Step 3: Cross multiply
    9,668.97x = 14,484.93 × 6,543.59
  4. Step 4: Simplify right side
    9,668.97x = 94,783,346.14
  5. Step 5: Solve for x
    x = 94,783,346.14/9,668.97
  6. Step 6: Final answer
    x = 9,802.84

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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.