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Finding the Fourth Proportional to 7,124.64, 9,827.64 and 4,602.66

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Solution

The fourth proportional to 7,124.64, 9,827.64 and 4,602.66 is: 6,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.64 : 9,827.64 = 4,602.66 : x
  2. Step 2: Convert to fraction form
    7,124.64/9,827.64 = 4,602.66/x
  3. Step 3: Cross multiply
    7,124.64x = 9,827.64 × 4,602.66
  4. Step 4: Simplify right side
    7,124.64x = 45,233,285.52
  5. Step 5: Solve for x
    x = 45,233,285.52/7,124.64
  6. Step 6: Final answer
    x = 6,348.85

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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.