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Finding the Fourth Proportional to 10,509.19, 14,502.98 and 5,793.77

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Solution

The fourth proportional to 10,509.19, 14,502.98 and 5,793.77 is: 7,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.19 : 14,502.98 = 5,793.77 : x
  2. Step 2: Convert to fraction form
    10,509.19/14,502.98 = 5,793.77/x
  3. Step 3: Cross multiply
    10,509.19x = 14,502.98 × 5,793.77
  4. Step 4: Simplify right side
    10,509.19x = 84,026,981.18
  5. Step 5: Solve for x
    x = 84,026,981.18/10,509.19
  6. Step 6: Final answer
    x = 7,995.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.