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Finding the Fourth Proportional to 10,875.76, 16,314.12 and 7,923.40

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Solution

The fourth proportional to 10,875.76, 16,314.12 and 7,923.40 is: 11,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.76 : 16,314.12 = 7,923.40 : x
  2. Step 2: Convert to fraction form
    10,875.76/16,314.12 = 7,923.40/x
  3. Step 3: Cross multiply
    10,875.76x = 16,314.12 × 7,923.40
  4. Step 4: Simplify right side
    10,875.76x = 129,263,298.41
  5. Step 5: Solve for x
    x = 129,263,298.41/10,875.76
  6. Step 6: Final answer
    x = 11,885.45

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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.