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Finding the Fourth Proportional to 9,570.75, 14,301.21 and 7,306.75

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Solution

The fourth proportional to 9,570.75, 14,301.21 and 7,306.75 is: 10,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.75 : 14,301.21 = 7,306.75 : x
  2. Step 2: Convert to fraction form
    9,570.75/14,301.21 = 7,306.75/x
  3. Step 3: Cross multiply
    9,570.75x = 14,301.21 × 7,306.75
  4. Step 4: Simplify right side
    9,570.75x = 104,495,331.00
  5. Step 5: Solve for x
    x = 104,495,331.00/9,570.75
  6. Step 6: Final answer
    x = 10,918.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.