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Finding the Fourth Proportional to 8,303.54, 11,457.51 and 4,946.24

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Solution

The fourth proportional to 8,303.54, 11,457.51 and 4,946.24 is: 6,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.54 : 11,457.51 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    8,303.54/11,457.51 = 4,946.24/x
  3. Step 3: Cross multiply
    8,303.54x = 11,457.51 × 4,946.24
  4. Step 4: Simplify right side
    8,303.54x = 56,671,594.26
  5. Step 5: Solve for x
    x = 56,671,594.26/8,303.54
  6. Step 6: Final answer
    x = 6,824.99

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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.