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Finding the Fourth Proportional to 8,384.04, 11,556 and 6,284.52

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Solution

The fourth proportional to 8,384.04, 11,556 and 6,284.52 is: 8,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.04 : 11,556 = 6,284.52 : x
  2. Step 2: Convert to fraction form
    8,384.04/11,556 = 6,284.52/x
  3. Step 3: Cross multiply
    8,384.04x = 11,556 × 6,284.52
  4. Step 4: Simplify right side
    8,384.04x = 72,623,913.12
  5. Step 5: Solve for x
    x = 72,623,913.12/8,384.04
  6. Step 6: Final answer
    x = 8,662.16

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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.