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Finding the Fourth Proportional to 8,324.16, 11,488 and 4,598.72

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Solution

The fourth proportional to 8,324.16, 11,488 and 4,598.72 is: 6,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.16 : 11,488 = 4,598.72 : x
  2. Step 2: Convert to fraction form
    8,324.16/11,488 = 4,598.72/x
  3. Step 3: Cross multiply
    8,324.16x = 11,488 × 4,598.72
  4. Step 4: Simplify right side
    8,324.16x = 52,830,095.36
  5. Step 5: Solve for x
    x = 52,830,095.36/8,324.16
  6. Step 6: Final answer
    x = 6,346.60

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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.