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Finding the Fourth Proportional to 10,582.12, 14,597.04 and 6,600.16

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Solution

The fourth proportional to 10,582.12, 14,597.04 and 6,600.16 is: 9,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.12 : 14,597.04 = 6,600.16 : x
  2. Step 2: Convert to fraction form
    10,582.12/14,597.04 = 6,600.16/x
  3. Step 3: Cross multiply
    10,582.12x = 14,597.04 × 6,600.16
  4. Step 4: Simplify right side
    10,582.12x = 96,342,799.53
  5. Step 5: Solve for x
    x = 96,342,799.53/10,582.12
  6. Step 6: Final answer
    x = 9,104.30

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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.