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Finding the Fourth Proportional to 10,580.76, 15,871.14 and 7,283.93

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Solution

The fourth proportional to 10,580.76, 15,871.14 and 7,283.93 is: 10,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.76 : 15,871.14 = 7,283.93 : x
  2. Step 2: Convert to fraction form
    10,580.76/15,871.14 = 7,283.93/x
  3. Step 3: Cross multiply
    10,580.76x = 15,871.14 × 7,283.93
  4. Step 4: Simplify right side
    10,580.76x = 115,604,193.42
  5. Step 5: Solve for x
    x = 115,604,193.42/10,580.76
  6. Step 6: Final answer
    x = 10,925.89

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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.