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Finding the Fourth Proportional to 14,030.76, 19,362.86 and 7,657.77

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Solution

The fourth proportional to 14,030.76, 19,362.86 and 7,657.77 is: 10,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.76 : 19,362.86 = 7,657.77 : x
  2. Step 2: Convert to fraction form
    14,030.76/19,362.86 = 7,657.77/x
  3. Step 3: Cross multiply
    14,030.76x = 19,362.86 × 7,657.77
  4. Step 4: Simplify right side
    14,030.76x = 148,276,271.16
  5. Step 5: Solve for x
    x = 148,276,271.16/14,030.76
  6. Step 6: Final answer
    x = 10,567.94

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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.