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Finding the Fourth Proportional to 9,038.13, 12,472.23 and 4,949.91

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Solution

The fourth proportional to 9,038.13, 12,472.23 and 4,949.91 is: 6,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.13 : 12,472.23 = 4,949.91 : x
  2. Step 2: Convert to fraction form
    9,038.13/12,472.23 = 4,949.91/x
  3. Step 3: Cross multiply
    9,038.13x = 12,472.23 × 4,949.91
  4. Step 4: Simplify right side
    9,038.13x = 61,736,416.00
  5. Step 5: Solve for x
    x = 61,736,416.00/9,038.13
  6. Step 6: Final answer
    x = 6,830.66

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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.