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Finding the Fourth Proportional to 6,484.98, 8,929.65 and 5,435.22

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Solution

The fourth proportional to 6,484.98, 8,929.65 and 5,435.22 is: 7,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.98 : 8,929.65 = 5,435.22 : x
  2. Step 2: Convert to fraction form
    6,484.98/8,929.65 = 5,435.22/x
  3. Step 3: Cross multiply
    6,484.98x = 8,929.65 × 5,435.22
  4. Step 4: Simplify right side
    6,484.98x = 48,534,612.27
  5. Step 5: Solve for x
    x = 48,534,612.27/6,484.98
  6. Step 6: Final answer
    x = 7,484.16

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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.