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Finding the Fourth Proportional to 15,684.64, 23,510.34 and 7,357.64

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Solution

The fourth proportional to 15,684.64, 23,510.34 and 7,357.64 is: 11,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.64 : 23,510.34 = 7,357.64 : x
  2. Step 2: Convert to fraction form
    15,684.64/23,510.34 = 7,357.64/x
  3. Step 3: Cross multiply
    15,684.64x = 23,510.34 × 7,357.64
  4. Step 4: Simplify right side
    15,684.64x = 172,980,618.00
  5. Step 5: Solve for x
    x = 172,980,618.00/15,684.64
  6. Step 6: Final answer
    x = 11,028.66

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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.