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Finding the Fourth Proportional to 9,374.04, 12,924 and 5,830.92

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Solution

The fourth proportional to 9,374.04, 12,924 and 5,830.92 is: 8,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.04 : 12,924 = 5,830.92 : x
  2. Step 2: Convert to fraction form
    9,374.04/12,924 = 5,830.92/x
  3. Step 3: Cross multiply
    9,374.04x = 12,924 × 5,830.92
  4. Step 4: Simplify right side
    9,374.04x = 75,358,810.08
  5. Step 5: Solve for x
    x = 75,358,810.08/9,374.04
  6. Step 6: Final answer
    x = 8,039.10

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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.