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Finding the Fourth Proportional to 9,502.47, 13,095.14 and 6,703.11

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Solution

The fourth proportional to 9,502.47, 13,095.14 and 6,703.11 is: 9,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.47 : 13,095.14 = 6,703.11 : x
  2. Step 2: Convert to fraction form
    9,502.47/13,095.14 = 6,703.11/x
  3. Step 3: Cross multiply
    9,502.47x = 13,095.14 × 6,703.11
  4. Step 4: Simplify right side
    9,502.47x = 87,778,130.37
  5. Step 5: Solve for x
    x = 87,778,130.37/9,502.47
  6. Step 6: Final answer
    x = 9,237.40

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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.