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Finding the Fourth Proportional to 10,289, 14,184.24 and 7,311.64

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Solution

The fourth proportional to 10,289, 14,184.24 and 7,311.64 is: 10,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,184.24 = 7,311.64 : x
  2. Step 2: Convert to fraction form
    10,289/14,184.24 = 7,311.64/x
  3. Step 3: Cross multiply
    10,289x = 14,184.24 × 7,311.64
  4. Step 4: Simplify right side
    10,289x = 103,710,056.55
  5. Step 5: Solve for x
    x = 103,710,056.55/10,289
  6. Step 6: Final answer
    x = 10,079.70

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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.