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Finding the Fourth Proportional to 9,303.84, 12,834.40 and 7,062

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Solution

The fourth proportional to 9,303.84, 12,834.40 and 7,062 is: 9,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.84 : 12,834.40 = 7,062 : x
  2. Step 2: Convert to fraction form
    9,303.84/12,834.40 = 7,062/x
  3. Step 3: Cross multiply
    9,303.84x = 12,834.40 × 7,062
  4. Step 4: Simplify right side
    9,303.84x = 90,636,532.80
  5. Step 5: Solve for x
    x = 90,636,532.80/9,303.84
  6. Step 6: Final answer
    x = 9,741.84

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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.