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Finding the Fourth Proportional to 6,569.51, 9,128.90 and 6,502.07

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Solution

The fourth proportional to 6,569.51, 9,128.90 and 6,502.07 is: 9,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.51 : 9,128.90 = 6,502.07 : x
  2. Step 2: Convert to fraction form
    6,569.51/9,128.90 = 6,502.07/x
  3. Step 3: Cross multiply
    6,569.51x = 9,128.90 × 6,502.07
  4. Step 4: Simplify right side
    6,569.51x = 59,356,785.90
  5. Step 5: Solve for x
    x = 59,356,785.90/6,569.51
  6. Step 6: Final answer
    x = 9,035.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.