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Finding the Fourth Proportional to 9,488.86, 14,230.86 and 6,526.69

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Solution

The fourth proportional to 9,488.86, 14,230.86 and 6,526.69 is: 9,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.86 : 14,230.86 = 6,526.69 : x
  2. Step 2: Convert to fraction form
    9,488.86/14,230.86 = 6,526.69/x
  3. Step 3: Cross multiply
    9,488.86x = 14,230.86 × 6,526.69
  4. Step 4: Simplify right side
    9,488.86x = 92,880,411.65
  5. Step 5: Solve for x
    x = 92,880,411.65/9,488.86
  6. Step 6: Final answer
    x = 9,788.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.