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Finding the Fourth Proportional to 9,387.80, 14,083.40 and 4,457.40

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Solution

The fourth proportional to 9,387.80, 14,083.40 and 4,457.40 is: 6,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.80 : 14,083.40 = 4,457.40 : x
  2. Step 2: Convert to fraction form
    9,387.80/14,083.40 = 4,457.40/x
  3. Step 3: Cross multiply
    9,387.80x = 14,083.40 × 4,457.40
  4. Step 4: Simplify right side
    9,387.80x = 62,775,347.16
  5. Step 5: Solve for x
    x = 62,775,347.16/9,387.80
  6. Step 6: Final answer
    x = 6,686.91

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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.