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Finding the Fourth Proportional to 15,583.74, 21,505.45 and 8,510.16

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Solution

The fourth proportional to 15,583.74, 21,505.45 and 8,510.16 is: 11,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.74 : 21,505.45 = 8,510.16 : x
  2. Step 2: Convert to fraction form
    15,583.74/21,505.45 = 8,510.16/x
  3. Step 3: Cross multiply
    15,583.74x = 21,505.45 × 8,510.16
  4. Step 4: Simplify right side
    15,583.74x = 183,014,799.10
  5. Step 5: Solve for x
    x = 183,014,799.10/15,583.74
  6. Step 6: Final answer
    x = 11,743.96

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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.