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Finding the Fourth Proportional to 7,365.16, 11,047.74 and 4,285

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Solution

The fourth proportional to 7,365.16, 11,047.74 and 4,285 is: 6,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.16 : 11,047.74 = 4,285 : x
  2. Step 2: Convert to fraction form
    7,365.16/11,047.74 = 4,285/x
  3. Step 3: Cross multiply
    7,365.16x = 11,047.74 × 4,285
  4. Step 4: Simplify right side
    7,365.16x = 47,339,565.90
  5. Step 5: Solve for x
    x = 47,339,565.90/7,365.16
  6. Step 6: Final answer
    x = 6,427.50

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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.