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Finding the Fourth Proportional to 15,298.15, 22,953.86 and 8,283.15

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Solution

The fourth proportional to 15,298.15, 22,953.86 and 8,283.15 is: 12,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.15 : 22,953.86 = 8,283.15 : x
  2. Step 2: Convert to fraction form
    15,298.15/22,953.86 = 8,283.15/x
  3. Step 3: Cross multiply
    15,298.15x = 22,953.86 × 8,283.15
  4. Step 4: Simplify right side
    15,298.15x = 190,130,265.46
  5. Step 5: Solve for x
    x = 190,130,265.46/15,298.15
  6. Step 6: Final answer
    x = 12,428.32

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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.