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Finding the Fourth Proportional to 9,534.90, 13,219.54 and 9,036.74

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Solution

The fourth proportional to 9,534.90, 13,219.54 and 9,036.74 is: 12,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.90 : 13,219.54 = 9,036.74 : x
  2. Step 2: Convert to fraction form
    9,534.90/13,219.54 = 9,036.74/x
  3. Step 3: Cross multiply
    9,534.90x = 13,219.54 × 9,036.74
  4. Step 4: Simplify right side
    9,534.90x = 119,461,545.90
  5. Step 5: Solve for x
    x = 119,461,545.90/9,534.90
  6. Step 6: Final answer
    x = 12,528.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.