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Finding the Fourth Proportional to 9,849.40, 14,802.90 and 8,582.20

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Solution

The fourth proportional to 9,849.40, 14,802.90 and 8,582.20 is: 12,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.40 : 14,802.90 = 8,582.20 : x
  2. Step 2: Convert to fraction form
    9,849.40/14,802.90 = 8,582.20/x
  3. Step 3: Cross multiply
    9,849.40x = 14,802.90 × 8,582.20
  4. Step 4: Simplify right side
    9,849.40x = 127,041,448.38
  5. Step 5: Solve for x
    x = 127,041,448.38/9,849.40
  6. Step 6: Final answer
    x = 12,898.39

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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.