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Finding the Fourth Proportional to 7,006.47, 9,668.54 and 4,353.86

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Solution

The fourth proportional to 7,006.47, 9,668.54 and 4,353.86 is: 6,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.47 : 9,668.54 = 4,353.86 : x
  2. Step 2: Convert to fraction form
    7,006.47/9,668.54 = 4,353.86/x
  3. Step 3: Cross multiply
    7,006.47x = 9,668.54 × 4,353.86
  4. Step 4: Simplify right side
    7,006.47x = 42,095,399.45
  5. Step 5: Solve for x
    x = 42,095,399.45/7,006.47
  6. Step 6: Final answer
    x = 6,008.08

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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.