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Finding the Fourth Proportional to 8,490.48, 11,706.72 and 5,505.24

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Solution

The fourth proportional to 8,490.48, 11,706.72 and 5,505.24 is: 7,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.48 : 11,706.72 = 5,505.24 : x
  2. Step 2: Convert to fraction form
    8,490.48/11,706.72 = 5,505.24/x
  3. Step 3: Cross multiply
    8,490.48x = 11,706.72 × 5,505.24
  4. Step 4: Simplify right side
    8,490.48x = 64,448,303.21
  5. Step 5: Solve for x
    x = 64,448,303.21/8,490.48
  6. Step 6: Final answer
    x = 7,590.65

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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.