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Finding the Fourth Proportional to 7,169.04, 9,882 and 6,566.40

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Solution

The fourth proportional to 7,169.04, 9,882 and 6,566.40 is: 9,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.04 : 9,882 = 6,566.40 : x
  2. Step 2: Convert to fraction form
    7,169.04/9,882 = 6,566.40/x
  3. Step 3: Cross multiply
    7,169.04x = 9,882 × 6,566.40
  4. Step 4: Simplify right side
    7,169.04x = 64,889,164.80
  5. Step 5: Solve for x
    x = 64,889,164.80/7,169.04
  6. Step 6: Final answer
    x = 9,051.30

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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.