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Finding the Fourth Proportional to 10,875.84, 16,315.76 and 4,635.84

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Solution

The fourth proportional to 10,875.84, 16,315.76 and 4,635.84 is: 6,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.84 : 16,315.76 = 4,635.84 : x
  2. Step 2: Convert to fraction form
    10,875.84/16,315.76 = 4,635.84/x
  3. Step 3: Cross multiply
    10,875.84x = 16,315.76 × 4,635.84
  4. Step 4: Simplify right side
    10,875.84x = 75,637,252.84
  5. Step 5: Solve for x
    x = 75,637,252.84/10,875.84
  6. Step 6: Final answer
    x = 6,954.61

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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.