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Finding the Fourth Proportional to 9,555.68, 14,313 and 7,348.16

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Solution

The fourth proportional to 9,555.68, 14,313 and 7,348.16 is: 11,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.68 : 14,313 = 7,348.16 : x
  2. Step 2: Convert to fraction form
    9,555.68/14,313 = 7,348.16/x
  3. Step 3: Cross multiply
    9,555.68x = 14,313 × 7,348.16
  4. Step 4: Simplify right side
    9,555.68x = 105,174,214.08
  5. Step 5: Solve for x
    x = 105,174,214.08/9,555.68
  6. Step 6: Final answer
    x = 11,006.46

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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.