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Finding the Fourth Proportional to 10,275.65, 15,469.47 and 7,009.32

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Solution

The fourth proportional to 10,275.65, 15,469.47 and 7,009.32 is: 10,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.65 : 15,469.47 = 7,009.32 : x
  2. Step 2: Convert to fraction form
    10,275.65/15,469.47 = 7,009.32/x
  3. Step 3: Cross multiply
    10,275.65x = 15,469.47 × 7,009.32
  4. Step 4: Simplify right side
    10,275.65x = 108,430,465.46
  5. Step 5: Solve for x
    x = 108,430,465.46/10,275.65
  6. Step 6: Final answer
    x = 10,552.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.