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Finding the Fourth Proportional to 28,478.16, 42,713.84 and 7,703.28

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Solution

The fourth proportional to 28,478.16, 42,713.84 and 7,703.28 is: 11,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,478.16 : 42,713.84 = 7,703.28 : x
  2. Step 2: Convert to fraction form
    28,478.16/42,713.84 = 7,703.28/x
  3. Step 3: Cross multiply
    28,478.16x = 42,713.84 × 7,703.28
  4. Step 4: Simplify right side
    28,478.16x = 329,036,669.40
  5. Step 5: Solve for x
    x = 329,036,669.40/28,478.16
  6. Step 6: Final answer
    x = 11,554.00

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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.