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Finding the Fourth Proportional to 15,152.64, 22,733.58 and 7,762.32

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Solution

The fourth proportional to 15,152.64, 22,733.58 and 7,762.32 is: 11,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.64 : 22,733.58 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    15,152.64/22,733.58 = 7,762.32/x
  3. Step 3: Cross multiply
    15,152.64x = 22,733.58 × 7,762.32
  4. Step 4: Simplify right side
    15,152.64x = 176,465,322.71
  5. Step 5: Solve for x
    x = 176,465,322.71/15,152.64
  6. Step 6: Final answer
    x = 11,645.85

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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.