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Finding the Fourth Proportional to 6,566.40, 9,050.40 and 5,140.80

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Solution

The fourth proportional to 6,566.40, 9,050.40 and 5,140.80 is: 7,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.40 : 9,050.40 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    6,566.40/9,050.40 = 5,140.80/x
  3. Step 3: Cross multiply
    6,566.40x = 9,050.40 × 5,140.80
  4. Step 4: Simplify right side
    6,566.40x = 46,526,296.32
  5. Step 5: Solve for x
    x = 46,526,296.32/6,566.40
  6. Step 6: Final answer
    x = 7,085.51

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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.