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Finding the Fourth Proportional to 11,582.04, 15,978.52 and 7,098.08

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Solution

The fourth proportional to 11,582.04, 15,978.52 and 7,098.08 is: 9,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.04 : 15,978.52 = 7,098.08 : x
  2. Step 2: Convert to fraction form
    11,582.04/15,978.52 = 7,098.08/x
  3. Step 3: Cross multiply
    11,582.04x = 15,978.52 × 7,098.08
  4. Step 4: Simplify right side
    11,582.04x = 113,416,813.24
  5. Step 5: Solve for x
    x = 113,416,813.24/11,582.04
  6. Step 6: Final answer
    x = 9,792.47

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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.