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Finding the Fourth Proportional to 24,041.60, 36,058.24 and 6,509.12

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Solution

The fourth proportional to 24,041.60, 36,058.24 and 6,509.12 is: 9,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,041.60 : 36,058.24 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    24,041.60/36,058.24 = 6,509.12/x
  3. Step 3: Cross multiply
    24,041.60x = 36,058.24 × 6,509.12
  4. Step 4: Simplify right side
    24,041.60x = 234,707,411.15
  5. Step 5: Solve for x
    x = 234,707,411.15/24,041.60
  6. Step 6: Final answer
    x = 9,762.55

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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.