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Finding the Fourth Proportional to 25,510.32, 38,267.64 and 7,042.32

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Solution

The fourth proportional to 25,510.32, 38,267.64 and 7,042.32 is: 10,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.32 : 38,267.64 = 7,042.32 : x
  2. Step 2: Convert to fraction form
    25,510.32/38,267.64 = 7,042.32/x
  3. Step 3: Cross multiply
    25,510.32x = 38,267.64 × 7,042.32
  4. Step 4: Simplify right side
    25,510.32x = 269,492,966.52
  5. Step 5: Solve for x
    x = 269,492,966.52/25,510.32
  6. Step 6: Final answer
    x = 10,564.08

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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.