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Finding the Fourth Proportional to 10,537.68, 14,537.48 and 7,395.92

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Solution

The fourth proportional to 10,537.68, 14,537.48 and 7,395.92 is: 10,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.68 : 14,537.48 = 7,395.92 : x
  2. Step 2: Convert to fraction form
    10,537.68/14,537.48 = 7,395.92/x
  3. Step 3: Cross multiply
    10,537.68x = 14,537.48 × 7,395.92
  4. Step 4: Simplify right side
    10,537.68x = 107,518,039.08
  5. Step 5: Solve for x
    x = 107,518,039.08/10,537.68
  6. Step 6: Final answer
    x = 10,203.20

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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.