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Finding the Fourth Proportional to 35,875.61, 53,809.21 and 9,582.40

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Solution

The fourth proportional to 35,875.61, 53,809.21 and 9,582.40 is: 14,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875.61 : 53,809.21 = 9,582.40 : x
  2. Step 2: Convert to fraction form
    35,875.61/53,809.21 = 9,582.40/x
  3. Step 3: Cross multiply
    35,875.61x = 53,809.21 × 9,582.40
  4. Step 4: Simplify right side
    35,875.61x = 515,621,453.14
  5. Step 5: Solve for x
    x = 515,621,453.14/35,875.61
  6. Step 6: Final answer
    x = 14,372.48

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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.