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Finding the Fourth Proportional to 4,652.04, 6,978.06 and 1,365.11

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Solution

The fourth proportional to 4,652.04, 6,978.06 and 1,365.11 is: 2,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.04 : 6,978.06 = 1,365.11 : x
  2. Step 2: Convert to fraction form
    4,652.04/6,978.06 = 1,365.11/x
  3. Step 3: Cross multiply
    4,652.04x = 6,978.06 × 1,365.11
  4. Step 4: Simplify right side
    4,652.04x = 9,525,784.60
  5. Step 5: Solve for x
    x = 9,525,784.60/4,652.04
  6. Step 6: Final answer
    x = 2,047.66

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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.