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Finding the Fourth Proportional to 16,384.55, 24,582.90 and 6,530.90

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Solution

The fourth proportional to 16,384.55, 24,582.90 and 6,530.90 is: 9,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.55 : 24,582.90 = 6,530.90 : x
  2. Step 2: Convert to fraction form
    16,384.55/24,582.90 = 6,530.90/x
  3. Step 3: Cross multiply
    16,384.55x = 24,582.90 × 6,530.90
  4. Step 4: Simplify right side
    16,384.55x = 160,548,461.61
  5. Step 5: Solve for x
    x = 160,548,461.61/16,384.55
  6. Step 6: Final answer
    x = 9,798.77

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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.